The 12 references with contexts in paper I. Volkov K., P. Vlasov A., И. Волков К., П. Власов А. (2016) “Температурное поле полупространства, подвижная граница которого с термически тонким покрытием находится под воздействием внешнего теплового потока // Half-Space Temperature Field with a Movable Thermally Thin-Coated Boundary Under External Heat Flux” / spz:neicon:technomag:y:2014:i:1:p:257-266

1
Carslaw H.S., Jaeger J.C.Conduction of Heat in Solids. 2nd ed. Oxford University Press, 1959. (Russ. ed.: Carslaw H.S., Jaeger J.C.Teploprovodnost' tverdykh tel. Moscow, Nauka Publ., 1964. 488 p.).
Total in-text references: 4
  1. In-text reference with the coordinate start=1411
    Prefix
    ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ ÔÓ‰ ‚ÓÁ‰ÂÈÒÚ‚ËÂÏ Ô‰ÂÎ ̧ÌÓ ÍÓ̈ÂÌÚËÓ‚‡ÌÌÓ„Ó ÒÚ‡ˆËÓ̇ÌÓ„Ó ‚Ì ̄ÌÂ„Ó ÚÂÔÎÓ‚Ó„Ó ÔÓÚÓ͇ Ë ÔÂÂÏ ̆‡ÂÚÒˇ Ô‡‡ÎÎÂÎ ̧ÌÓ Ò‡ÏÓÈ Ò· ÔÓ ÎËÌÂÈÌÓÏÛ Á‡ÍÓÌÛ. Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÚÂÏÔÂ‡ÚÛÌÓ ÔÓÎÂ; ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚Ó; ÔÓ‰‚ËÊ̇ˇ „‡Ìˈ‡ ¬‚‰ÂÌË ¬ ËÌÊÂÌÂÌÓÈ Ô‡ÍÚËÍ ‡Ì‡ÎËÚË ̃ÂÒÍË ÏÂÚÓ‰ ̊ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË
    Exact
    [1,2,3]
    Suffix
    Á‡ÌËχ ̨Ú ÓÒÓ·Ó ÏÂÒÚÓ. ›ÚÓ Ó·ÛÒÎÓ‚ÎÂÌÓ ÏÌÓ„ËÏË ÔË ̃Ë̇ÏË Ë, ‚ ̃‡ÒÚÌÓÒÚË, ÚÂÏ, ̃ÚÓ  ̄ÂÌˡ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆Ëı Á‡‰‡ ̃, ÔÓÎÛ ̃ÂÌÌ ̊ ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉÂ, ÔÓÁ‚ÓΡ ̨Ú Ì ÚÓÎ ̧ÍÓ ÔÓ‚Ó‰ËÚ ̧ Ô‡‡ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊Â

  2. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

  3. In-text reference with the coordinate start=6437
    Prefix
    “ÂÏÔÂ‡ÚÛÌÓ ÔÓΠÇÚÂχÚË ̃ÂÒ͇ˇ ÏÓ‰ÂÎ ̧ (14) Ô‰ÒÚ‡‚ΡÂÚ ÒÓ·ÓÈ ÒÏ ̄‡ÌÌÛ ̨ Á‡‰‡ ̃Û ‰Îˇ Û‡‚ÌÂÌˡ ‚ ̃‡ÒÚÌ ̊ı ÔÓËÁ‚Ó‰Ì ̊ı Ô‡‡·ÓÎË ̃ÂÒÍÓ„Ó ÚËÔ‡ ÒÓ ÒÔˆˇΠ̧Ì ̊Ï Í‡Â‚ ̊Ï ÛÒÎÓ‚ËÂÏ ÔËX= 0. ≈  ̄ÂÌË ÏÓÊÂÚ · ̊Ú ̧ ÔÓÎÛ ̃ÂÌÓ ÔÛÚÂÏ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÔËÏÂÌÂÌˡ Ò̇ ̃‡Î‡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡
    Exact
    [1,2]
    Suffix
    : H0[θ]≡ +∞∫ 0 θ(ρ)ρJ0(pρ)dρ,H−10[κ]≡ +∞∫ 0 κ(p)pJ0(pρ)dp,(18) ‡ Á‡ÚÂÏ | ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇ [1,2]. œÓ·„‡ˇ A(p,X,τ) =H0[θ(ρ,X,τ)],B(p,X,s) =L[A(p,X,τ)],(19) „‰ÂL| ÓÔÂ‡ÚÓ ÔˇÏÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇, ÔËıÓ‰ËÏ Í Á‡‰‡ ̃ ‰Îˇ ÓÔ‰ÂÎÂÌˡ ËÁÓ·‡ÊÂÌˡB(p,X,s): d2B dX2 +V dB dX −(s+ Λp2)B= 0,X>0; dB dX ∣ ∣ ∣ ∣ ∣ X=0 =− Q0 s +ε { (a2s+ Λ0p2)B−a2V dB dX }∣∣ ∣ ∣ ∣ X=0 , „‰Â ‚ ÒÓÓÚ‚ÂÚ

  4. In-text reference with the coordinate start=6545
    Prefix
    ≈  ̄ÂÌË ÏÓÊÂÚ · ̊Ú ̧ ÔÓÎÛ ̃ÂÌÓ ÔÛÚÂÏ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÔËÏÂÌÂÌˡ Ò̇ ̃‡Î‡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡ [1,2]: H0[θ]≡ +∞∫ 0 θ(ρ)ρJ0(pρ)dρ,H−10[κ]≡ +∞∫ 0 κ(p)pJ0(pρ)dp,(18) ‡ Á‡ÚÂÏ | ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇
    Exact
    [1,2]
    Suffix
    . œÓ·„‡ˇ A(p,X,τ) =H0[θ(ρ,X,τ)],B(p,X,s) =L[A(p,X,τ)],(19) „‰ÂL| ÓÔÂ‡ÚÓ ÔˇÏÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇, ÔËıÓ‰ËÏ Í Á‡‰‡ ̃ ‰Îˇ ÓÔ‰ÂÎÂÌˡ ËÁÓ·‡ÊÂÌˡB(p,X,s): d2B dX2 +V dB dX −(s+ Λp2)B= 0,X>0; dB dX ∣ ∣ ∣ ∣ ∣ X=0 =− Q0 s +ε { (a2s+ Λ0p2)B−a2V dB dX }∣∣ ∣ ∣ ∣ X=0 , „‰Â ‚ ÒÓÓÚ‚ÂÚÒÚ‚ËË Ò Ô‰ÔÓÎÓÊÂÌˡÏË (15){(17) ‰ÓÎÊÌÓ ‚ ̊ÔÓÎÌˇÚ ̧Òˇ ÛÒÎÓ‚Ë B(p,·,s)∈L2[0,+∞),p∈R+,s∈C, ÍÓÚÓÓ ڇÍÊ ˄‡ÂÚ ÓÎ

2
Lykov A.V.Teoriia teploprovodnosti[Theory of thermal conductivity]. Moscow, Vysshaia shkola Publ., 1967. 600 p. (in Russian).
Total in-text references: 7
  1. In-text reference with the coordinate start=1411
    Prefix
    ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ ÔÓ‰ ‚ÓÁ‰ÂÈÒÚ‚ËÂÏ Ô‰ÂÎ ̧ÌÓ ÍÓ̈ÂÌÚËÓ‚‡ÌÌÓ„Ó ÒÚ‡ˆËÓ̇ÌÓ„Ó ‚Ì ̄ÌÂ„Ó ÚÂÔÎÓ‚Ó„Ó ÔÓÚÓ͇ Ë ÔÂÂÏ ̆‡ÂÚÒˇ Ô‡‡ÎÎÂÎ ̧ÌÓ Ò‡ÏÓÈ Ò· ÔÓ ÎËÌÂÈÌÓÏÛ Á‡ÍÓÌÛ. Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÚÂÏÔÂ‡ÚÛÌÓ ÔÓÎÂ; ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚Ó; ÔÓ‰‚ËÊ̇ˇ „‡Ìˈ‡ ¬‚‰ÂÌË ¬ ËÌÊÂÌÂÌÓÈ Ô‡ÍÚËÍ ‡Ì‡ÎËÚË ̃ÂÒÍË ÏÂÚÓ‰ ̊ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË
    Exact
    [1,2,3]
    Suffix
    Á‡ÌËχ ̨Ú ÓÒÓ·Ó ÏÂÒÚÓ. ›ÚÓ Ó·ÛÒÎÓ‚ÎÂÌÓ ÏÌÓ„ËÏË ÔË ̃Ë̇ÏË Ë, ‚ ̃‡ÒÚÌÓÒÚË, ÚÂÏ, ̃ÚÓ  ̄ÂÌˡ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆Ëı Á‡‰‡ ̃, ÔÓÎÛ ̃ÂÌÌ ̊ ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉÂ, ÔÓÁ‚ÓΡ ̨Ú Ì ÚÓÎ ̧ÍÓ ÔÓ‚Ó‰ËÚ ̧ Ô‡‡ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊Â

  2. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

  3. In-text reference with the coordinate start=3315
    Prefix
    Œ ̃‚ˉÌÓ, ̃ÚÓ ‚ ‡ÒÒχÚË‚‡ÂÏÓÏ ÒÎÛ ̃‡Â ÚÂÏÔÂ‡ÚÛÌÓ ÔÓÎÂT(r,z,t)·Û‰ÂÚ Ó·Î‡‰‡Ú ̧ ÓÒ‚ÓÈ ÒËÏÏÂÚËÂÈ. ›ÚÓ ÒÓÓ·‡ÊÂÌË ‚ÏÂÒÚÂ Ò Ô‰ÔÓÎÓÊÂÌËÂÏ Ó ÚÓÏ, ̃ÚÓ ÍÓÌÚ‡ÍÚ ‚ ÒËÒÚÂÏ <ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚Ó | ÔÓÍ ̊ÚË „‡Ìˈ ̊> ˇ‚ΡÂÚÒˇ ˉ‡Π̧Ì ̊Ï
    Exact
    [2]
    Suffix
    , ÔË‚Ó‰ËÚ Í ÒÎÂ‰Û ̨ ̆ÂÈ Ï‡ÚÂχÚË ̃ÂÒÍÓÈ ÏÓ‰ÂÎË ÔÓˆÂÒÒ‡ ÙÓÏËÓ‚‡Ìˡ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ: ∂θ ∂Fo = Λ 1 ρ ∂ ∂ρ ρ ∂θ ∂ρ + ∂2θ ∂Z2 ,ρ>0,Z>VFo,Fo>0;(1) a2 ∂θ ∂Fo = Λ0 1 ρ ∂ ∂ρ ρ ∂θ ∂ρ + Λ∗ ∂2θ ∂Z2 ,ρ>0,VFo−ε<Z<VFo,Fo>0;(2) θ(ρ,Z,Fo) ∣ ∣ ∣ ∣ Fo=0 ≡0;(3) ∂θ ∂Z ∣ ∣ ∣ ∣ ∣ Z=VFo−ε =−2πQ0δ(r);(4) θ(ρ,VFo−0,Fo) =θ(ρ,VFo + 0,Fo);(5) Λ∗ ∂θ ∂Z ∣ ∣ ∣ ∣ ∣ Z=VFo−0 = ∂θ ∂Z ∣ ∣ ∣ ∣ ∣ Z=VFo+0 ,(6) ÔË Á‡

  4. In-text reference with the coordinate start=6437
    Prefix
    “ÂÏÔÂ‡ÚÛÌÓ ÔÓΠÇÚÂχÚË ̃ÂÒ͇ˇ ÏÓ‰ÂÎ ̧ (14) Ô‰ÒÚ‡‚ΡÂÚ ÒÓ·ÓÈ ÒÏ ̄‡ÌÌÛ ̨ Á‡‰‡ ̃Û ‰Îˇ Û‡‚ÌÂÌˡ ‚ ̃‡ÒÚÌ ̊ı ÔÓËÁ‚Ó‰Ì ̊ı Ô‡‡·ÓÎË ̃ÂÒÍÓ„Ó ÚËÔ‡ ÒÓ ÒÔˆˇΠ̧Ì ̊Ï Í‡Â‚ ̊Ï ÛÒÎÓ‚ËÂÏ ÔËX= 0. ≈  ̄ÂÌË ÏÓÊÂÚ · ̊Ú ̧ ÔÓÎÛ ̃ÂÌÓ ÔÛÚÂÏ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÔËÏÂÌÂÌˡ Ò̇ ̃‡Î‡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡
    Exact
    [1,2]
    Suffix
    : H0[θ]≡ +∞∫ 0 θ(ρ)ρJ0(pρ)dρ,H−10[κ]≡ +∞∫ 0 κ(p)pJ0(pρ)dp,(18) ‡ Á‡ÚÂÏ | ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇ [1,2]. œÓ·„‡ˇ A(p,X,τ) =H0[θ(ρ,X,τ)],B(p,X,s) =L[A(p,X,τ)],(19) „‰ÂL| ÓÔÂ‡ÚÓ ÔˇÏÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇, ÔËıÓ‰ËÏ Í Á‡‰‡ ̃ ‰Îˇ ÓÔ‰ÂÎÂÌˡ ËÁÓ·‡ÊÂÌˡB(p,X,s): d2B dX2 +V dB dX −(s+ Λp2)B= 0,X>0; dB dX ∣ ∣ ∣ ∣ ∣ X=0 =− Q0 s +ε { (a2s+ Λ0p2)B−a2V dB dX }∣∣ ∣ ∣ ∣ X=0 , „‰Â ‚ ÒÓÓÚ‚ÂÚ

  5. In-text reference with the coordinate start=6545
    Prefix
    ≈  ̄ÂÌË ÏÓÊÂÚ · ̊Ú ̧ ÔÓÎÛ ̃ÂÌÓ ÔÛÚÂÏ ÔÓÒΉӂ‡ÚÂÎ ̧ÌÓ„Ó ÔËÏÂÌÂÌˡ Ò̇ ̃‡Î‡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡ [1,2]: H0[θ]≡ +∞∫ 0 θ(ρ)ρJ0(pρ)dρ,H−10[κ]≡ +∞∫ 0 κ(p)pJ0(pρ)dp,(18) ‡ Á‡ÚÂÏ | ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇
    Exact
    [1,2]
    Suffix
    . œÓ·„‡ˇ A(p,X,τ) =H0[θ(ρ,X,τ)],B(p,X,s) =L[A(p,X,τ)],(19) „‰ÂL| ÓÔÂ‡ÚÓ ÔˇÏÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇, ÔËıÓ‰ËÏ Í Á‡‰‡ ̃ ‰Îˇ ÓÔ‰ÂÎÂÌˡ ËÁÓ·‡ÊÂÌˡB(p,X,s): d2B dX2 +V dB dX −(s+ Λp2)B= 0,X>0; dB dX ∣ ∣ ∣ ∣ ∣ X=0 =− Q0 s +ε { (a2s+ Λ0p2)B−a2V dB dX }∣∣ ∣ ∣ ∣ X=0 , „‰Â ‚ ÒÓÓÚ‚ÂÚÒÚ‚ËË Ò Ô‰ÔÓÎÓÊÂÌˡÏË (15){(17) ‰ÓÎÊÌÓ ‚ ̊ÔÓÎÌˇÚ ̧Òˇ ÛÒÎÓ‚Ë B(p,·,s)∈L2[0,+∞),p∈R+,s∈C, ÍÓÚÓÓ ڇÍÊ ˄‡ÂÚ ÓÎ

  6. In-text reference with the coordinate start=8334
    Prefix
    Œ„‡ÌË ̃Ë‚‡ˇÒ ̧ ̇˷ÓΠ‡Π̧ÌÓÈ Ò Ô‡ÍÚË ̃ÂÒÍÓÈ ÚÓ ̃ÍË ÁÂÌˡ ÒËÚÛ‡ˆËÂÈ, ÍÓ„‰‡∆>0, Ë ÔÓ·„‡ˇ αk(p) = 1 2 ( 1 εa2 +V ) + (−1)k √ 1 4ε2a4 +p2∆,k= 1,2,(24) Ò Û ̃ÂÚÓÏ ‡‚ÂÌÒÚ‚‡ (22) Ë Ú‡·Îˈ ̊ <ËÁÓ·‡ÊÂÌË | ÓË„Ë̇Î>
    Exact
    [2]
    Suffix
    ÔËıÓ‰ËÏ Í ÒÎÂ‰Û ̨ ̆ÂÏÛ ÂÁÛÎ ̧Ú‡ÚÛ: Ψ(p,X,τ) ∣ ∣ ∣ ∣ ∆>0 ≡ 1 εa2[α1(p)−α2(p)] L−1 [ exp(−X √ s) √ s+α2(p) − exp(−X √ s) √ s+α1(p) ] = = 1 εa2[α1(p)−α2(p)] { α1(p) exp[Xα1(p) +τα21(p)]erfc ( X 2 √ τ +α1(p) √ τ ) − −α2(p) exp[Xα2(p) +τα22(p)]erfc ( X 2 √ τ +α2(p) √ τ )} ,(25) „‰Â erfc(x) = 2 √ π +∞∫ x e−t 2 dt| ‰ÓÔÓÎÌËÚÂÎ ̧̇ˇ ÙÛÌÍˆËˇ Ó ̄Ë·ÓÍ √‡ÛÒÒ‡ [11]. 3.

  7. In-text reference with the coordinate start=9250
    Prefix
    ), (23), (24), (25) Ë ÙÓÏÛÎÓÈ Ó·‡ ̆ÂÌˡ (18) ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡. 2.ŒÚÒÛÚÒÚ‚Ë ÚÂÏË ̃ÂÒÍË ÚÓÌÍÓ„Ó ÔÓÍ ̊Úˡ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ „‡Ìˈ ‡ÒÒχÚË‚‡ÂÏÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡ ‡ÒÒÓˆËËÛÂÚÒˇ Ò ‡‚ÂÌÒÚ‚ÓÏε= 0. ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â ‡‚ÂÌÒÚ‚Ó (22) Á̇ ̃ËÚÂÎ ̧ÌÓ ÛÔÓ ̆‡ÂÚÒˇ Ë ‰Îˇ ÓÔ‰ÂÎÂÌˡ ÙÛÌ͈ËÓ̇·Ψ(p,X,τ)‰ÓÒÚ‡ÚÓ ̃ÌÓ ‚ÓÒÔÓÎ ̧ÁÓ‚‡Ú ̧Òˇ Ú‡·ÎˈÂÈ <ËÁÓ·‡ÊÂÌË | ÓË„Ë̇Î>
    Exact
    [2]
    Suffix
    . ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â Ψ(p,X,τ) ∣ ∣ ∣ ∣ ε=0 = 2 V {√ V2 4πτ exp ( − X2 4τ ) − ( V 2 )2 exp [ X ( V 2 ) + ( V 2 )2 τ ] erfc ( X 2 √ τ + V 2 √ τ )} Ë Òӄ·ÒÌÓ (21) A(p,X,τ) ∣ ∣ ∣ ∣ ε=0 =Q0 ∫τ 0 exp(−Λp2t) { 1 √ πt exp [ − ( X 2 √ t + V 2 √ t )2] − − V 2 erfc ( X 2 √ t + V 2 √ t )} dt.(26) “‡ÍËÏ Ó·‡ÁÓÏ, ‰Îˇ ̇ıÓʉÂÌˡ ËÒÍÓÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ‚ ÔÓ‰‚ËÊÌÓÈ ÒËÒÚÂÏ ÍÓÓ‰ËÌ‡Ú (13) ÔËε= 0‰ÓÒÚ‡ÚÓ ̃ÌÓ ‚ÓÒÔ

3
Kartashov E.M.Analiticheskie metody v teorii teploprovodnosti tverdykh tel[Analytic methods in the theory of thermal conductivity of solids]. Moscow, Vysshaia shkola Publ., 1985. 553 p. (in Russian) .
Total in-text references: 2
  1. In-text reference with the coordinate start=1411
    Prefix
    ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ ÔÓ‰ ‚ÓÁ‰ÂÈÒÚ‚ËÂÏ Ô‰ÂÎ ̧ÌÓ ÍÓ̈ÂÌÚËÓ‚‡ÌÌÓ„Ó ÒÚ‡ˆËÓ̇ÌÓ„Ó ‚Ì ̄ÌÂ„Ó ÚÂÔÎÓ‚Ó„Ó ÔÓÚÓ͇ Ë ÔÂÂÏ ̆‡ÂÚÒˇ Ô‡‡ÎÎÂÎ ̧ÌÓ Ò‡ÏÓÈ Ò· ÔÓ ÎËÌÂÈÌÓÏÛ Á‡ÍÓÌÛ. Î ̨ ̃‚ ̊ ÒÎÓ‚‡:ÚÂÏÔÂ‡ÚÛÌÓ ÔÓÎÂ; ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚Ó; ÔÓ‰‚ËÊ̇ˇ „‡Ìˈ‡ ¬‚‰ÂÌË ¬ ËÌÊÂÌÂÌÓÈ Ô‡ÍÚËÍ ‡Ì‡ÎËÚË ̃ÂÒÍË ÏÂÚÓ‰ ̊ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË
    Exact
    [1,2,3]
    Suffix
    Á‡ÌËχ ̨Ú ÓÒÓ·Ó ÏÂÒÚÓ. ›ÚÓ Ó·ÛÒÎÓ‚ÎÂÌÓ ÏÌÓ„ËÏË ÔË ̃Ë̇ÏË Ë, ‚ ̃‡ÒÚÌÓÒÚË, ÚÂÏ, ̃ÚÓ  ̄ÂÌˡ ÒÓÓÚ‚ÂÚÒÚ‚Û ̨ ̆Ëı Á‡‰‡ ̃, ÔÓÎÛ ̃ÂÌÌ ̊ ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉÂ, ÔÓÁ‚ÓΡ ̨Ú Ì ÚÓÎ ̧ÍÓ ÔÓ‚Ó‰ËÚ ̧ Ô‡‡ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊Â

  2. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

4
Formalev V.F.,Kuznetsova E.L. Teplomassoperenos v anizotropnykh telakh pri aerogazodinamicheskom nagreve[Heat and Mass Transfer in Anisotropic Solids under Conditions of Aero-Gas-Dynamic Heating], Moscow, Moscow Aviation Institute Publ., 2010. 308 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

5
Formalev V.F. Heat and mass transfer in anisotropic bodies.Teplofizika vysokikh temperature, 2001, vol. 39, no. 5, pp. 810{832. (English translation:High Temperature, 2001, vol. 39, no. 5, pp. 753{774. DOI:10.1023/A:1012393413687).
Total in-text references: 1
  1. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

6
Formalev V.F., Kolesnik S.A., Chipashvili A.A. An analytical investigation of heat and mass transfer under conditions of film cooling of bodies.Teplofizika vysokikh temperature, 2006, vol. 44, no. 1, pp. 107{112. (English translation:High Temperature, 2006, vol. 44, no. 1, pp. 108{114. DOI:10.1007/s10740-006-0012-4).
Total in-text references: 1
  1. In-text reference with the coordinate start=2020
    Prefix
    ÏÂÚË ̃ÂÒÍËÈ ‡Ì‡ÎËÁ ËÁÛ ̃‡ÂÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ Ë ËÒÒΉӂ‡Ú ̧ ÒÔˆËÙË ̃ÂÒÍË ÓÒÓ·ÂÌÌÓÒÚË Â„Ó ÙÓÏËÓ‚‡Ìˡ, ÌÓ Ë ÚÂÒÚËÓ‚‡Ú ̧ ‡Á‡·‡Ú ̊‚‡ÂÏ ̊ ‚ ̊ ̃ËÒÎËÚÂÎ ̧Ì ̊ ‡Î„ÓËÚÏ ̊, ÓËÂÌÚËÓ‚‡ÌÌ ̊ ̇  ̄ÂÌË ‡Π̧Ì ̊ı ÔËÍ·‰Ì ̊ı Á‡‰‡ ̃ ÚÂÔÎÓχÒÒÓÔÂÂÌÓÒ‡. “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊
    Exact
    [1,2,3,4,5,6]
    Suffix
    . œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ [7,8]. ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ

7
Kartashov E.M. Analytical Methods of Solution of Boundary Value Problems of Nonstationary Heat Conduction in Regions with Moving Boundaries.Izv. RAN. Energetika=Proceedings of the RAS. Power engineering, 1999, no. 5, pp. 3{34. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=2187
    Prefix
    “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊ [1,2,3,4,5,6]. œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ
    Exact
    [7,8]
    Suffix
    . ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ ÔÓ‰ ‚ÓÁ‰ÂÈÒÚ‚ËÂÏ ‚Ì ̄ÌÂ„Ó ÚÂÔÎÓ‚Ó„Ó ÔÓÚÓ͇ Ë ÔÂÂÏ ̆‡ÂÚÒˇ Ô‡‡ÎÎÂÎ ̧ÌÓ Ò‡ÏÓÈ Ò· ÔÓ ÎËÌÂÈÌÓÏÛ Á‡ÍÓÌÛ. 1.

8
Attetkov A.V., Vlasov P.A., Volkov I.K. Influence of the Mobility of a Boundary on the Temperature Field of a Half-Space under Unstable Conditions ofHeat Exchange with the Environment. Inzhenerno-fizicheskii zhurnal, 2002, vol. 75, no. 6, pp. 172{178. (English translation:Journal of Engineering Physics and Thermophysics, 2002, vol. 75, no. 6. pp. 1454{1462. DOI: 10.1023/A:1022143716313).
Total in-text references: 1
  1. In-text reference with the coordinate start=2187
    Prefix
    “Û‰ÌÓÒÚË, ‚ÓÁÌË͇ ̨ ̆Ë ÔË Ô‡ÍÚË ̃ÂÒÍÓÏ ËÒÔÓÎ ̧ÁÓ‚‡ÌËË ‡Ì‡ÎËÚË ̃ÂÒÍËı ÏÂÚÓ‰Ó‚ χÚÂχÚË ̃ÂÒÍÓÈ ÚÂÓËË ÚÂÔÎÓÔÓ‚Ó‰ÌÓÒÚË, ıÓÓ ̄Ó ËÁ‚ÂÒÚÌ ̊ [1,2,3,4,5,6]. œË ̋ÚÓÏ ÓÌË ÒÛ ̆ÂÒÚ‚ÂÌÌÓ ÛÒÛ„Û·Îˇ ̨ÚÒˇ ÔË Ì‡ÎË ̃ËË ÔÓ‰‚ËÊÌ ̊ı „‡Ìˈ Û ËÁÛ ̃‡ÂÏÓÈ ÒËÒÚÂÏ ̊ ‰‡Ê ‚ ÔÓÒÚÂÈ ̄ÂÏ ÒÎÛ ̃‡Â, ÍÓ„‰‡ Á‡ÍÓÌ ‰‚ËÊÂÌˡ ËÁ‚ÂÒÚÂÌ
    Exact
    [7,8]
    Suffix
    . ŒÒÌӂ̇ˇ ˆÂÎ ̧ Ôӂ‰ÂÌÌ ̊ı ËÒÒΉӂ‡ÌËÈ | ÔÓÎÛ ̃ÂÌË ‚ ‡Ì‡ÎËÚË ̃ÂÒÍË Á‡ÏÍÌÛÚÓÏ ‚ˉ  ̄ÂÌˡ Á‡‰‡ ̃Ë Ì‡ıÓʉÂÌˡ ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡, „‡Ìˈ‡ ÍÓÚÓÓ„Ó Ò ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃ÌÓ„Ó ÚËÔ‡ ̇ıÓ‰ËÚÒˇ ÔÓ‰ ‚ÓÁ‰ÂÈÒÚ‚ËÂÏ ‚Ì ̄ÌÂ„Ó ÚÂÔÎÓ‚Ó„Ó ÔÓÚÓ͇ Ë ÔÂÂÏ ̆‡ÂÚÒˇ Ô‡‡ÎÎÂÎ ̧ÌÓ Ò‡ÏÓÈ Ò· ÔÓ ÎËÌÂÈÌÓÏÛ Á‡ÍÓÌÛ. 1.

9
Pudovkin M.A., Volkov I.K.Kraevye zadachi matematicheskoy teorii teploprovodnosti v prilozhenii k raschetam temperaturnykh poley v neftyanykh plastakh pri zavodnenii[Boundaryvalue problems of mathematical theory of heat conduction in the annex to the calculations of temperature fields in oil reservoirs during flooding]. Kazan, Kazan University Publ., 1978. 188 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=4706
    Prefix
    ÚÓÏ: θ(·,Z,Fo)∈L2[0,+∞),Z>VFo−ε,Fo>0,(7) θ(ρ,·,Fo)∈L2[VFo−ε,+∞),ρ>0,Fo>0,(8) ‡, Í‡Í ÙÛÌÍˆËˇ ‡„ÛÏÂÌÚ‡Fo, ÓÌ ÔË̇‰ÎÂÊËÚ Í·ÒÒÛL[0,+∞)ÙÛÌ͈ËÈ-ÓË„Ë̇ÎÓ‚ ÔÂÓ·‡ÁÓ‚‡Ìˡ À‡Ô·҇ [2], Ú.Â. θ(ρ,Z,·)∈L[0,+∞),ρ>0,Z>VFo−ε.(9) —ӄ·ÒÌÓ ËÒıÓ‰Ì ̊Ï ‰ÓÔÛ ̆ÂÌˡÏ, ÔÓÍ ̊ÚË ÔÓ‰‚ËÊÌÓÈ „‡Ìˈ ̊ ˇ‚ΡÂÚÒˇ ÚÂÏË ̃ÂÒÍË ÚÓÌÍËÏ ÔÓÍ ̊ÚËÂÏ ÔÎÂÌÓ ̃Ó„Ó ÚËÔ‡, ÔÓ ̋ÚÓÏÛ ‰ÓÔÛÒÚËχ ‡ÎËÁ‡ˆËˇ ˉÂË <ÒÓÒ‰ÓÚÓ ̃ÂÌ̇ˇ ÂÏÍÓÒÚ ̧>
    Exact
    [9]
    Suffix
    : 〈θ(ρ,Fo)〉= 1 ε VFo−0∫ VFo−ε+0 θ(ρ,Z,Fo)dZ;(10) θ(ρ,VFo−ε+ 0,Fo) =〈θ(ρ,Fo)〉=θ(ρ,VFo−0,Fo),(11) Ú.Â. ‰ÓÔÛÒÚËÏÓ ÔËÌˇÚË „ËÔÓÚÂÁ ̊ Ó ÚÓÏ, ̃ÚÓ Ò‰ÌÂËÌÚ„‡Î ̧̇ˇ ÔÓ ÚÓÎ ̆ËÌ ÔÓÍ ̊Úˡ ÚÂÏÔÂ‡ÚÛ‡ ‡‚̇ ÚÂÏÔÂ‡ÚÛÂ Â„Ó „‡Ìˈ. œÓËÌÚ„ËÓ‚‡‚ Û‡‚ÌÂÌË (2) ÔÓ ÔÂÂÏÂÌÌÓÏÛ Z‚ Ô‰Â·ı ÓÚVFo−ε‰ÓVFoÒ Û ̃ÂÚÓÏ Í‡Â‚Ó„Ó ÛÒÎӂˡ (4), ÛÒÎÓ‚ËÈ ÒÓÔˇÊÂÌˡ (5) Ë (6), ‡‚ÂÌÒÚ‚ (10), (11) Ë Ô‡‚Ë· ÀÂÈ·Ìˈ‡ ‰ËÙÙ

10
Fikhtengol'ts G.M.Kurs differentsial'nogo i integral'nogo ischisleniya.T. 2 [Differential and integral calculus. Vol. 2]. Moscow, Fizmatgiz Publ., 1962. 980 p. (in Russian).
Total in-text references: 1
  1. In-text reference with the coordinate start=5146
    Prefix
    ‰ÓÔÛÒÚËÏÓ ÔËÌˇÚË „ËÔÓÚÂÁ ̊ Ó ÚÓÏ, ̃ÚÓ Ò‰ÌÂËÌÚ„‡Î ̧̇ˇ ÔÓ ÚÓÎ ̆ËÌ ÔÓÍ ̊Úˡ ÚÂÏÔÂ‡ÚÛ‡ ‡‚̇ ÚÂÏÔÂ‡ÚÛÂ Â„Ó „‡Ìˈ. œÓËÌÚ„ËÓ‚‡‚ Û‡‚ÌÂÌË (2) ÔÓ ÔÂÂÏÂÌÌÓÏÛ Z‚ Ô‰Â·ı ÓÚVFo−ε‰ÓVFoÒ Û ̃ÂÚÓÏ Í‡Â‚Ó„Ó ÛÒÎӂˡ (4), ÛÒÎÓ‚ËÈ ÒÓÔˇÊÂÌˡ (5) Ë (6), ‡‚ÂÌÒÚ‚ (10), (11) Ë Ô‡‚Ë· ÀÂÈ·Ìˈ‡ ‰ËÙÙÂÂ̈ËÓ‚‡Ìˡ Á‡‚ËÒˇ ̆Â„Ó ÓÚ Ô‡‡ÏÂÚ‡ ËÌÚ„‡Î‡
    Exact
    [10]
    Suffix
    , ÔËıÓ‰ËÏ Í Û‡‚ÌÂÌË ̨ ∂θ ∂Z =−2πq0δ(ρ) +ε { a2 ∂θ ∂Fo −Λ0 1 ρ ∂ ∂ρ ρ ∂θ ∂ρ } ,ρ>0,Z=VFo,Fo>0,(12) ÍÓÚÓÓ ÏÓÊÌÓ ËÌÚÂÔÂÚËÓ‚‡Ú ̧ Í‡Í ÌÂÒÚ‡ˆËÓ̇ÌÓ ӷӷ ̆ÂÌË Í‡Â‚Ó„Ó ÛÒÎӂˡ ‚ÚÓÓ„Ó Ó‰‡ ̇ ÔÓ‰‚ËÊÌÓÈ „‡Ìˈ ÓÚÓÚÓÔÌÓ„Ó ÔÓÎÛÔÓÒÚ‡ÌÒÚ‚‡ ‚ ÔÎÓÒÍÓÒÚË ÍÓÚÓÓÈ ‡ÎËÁÛÂÚÒˇ ÍÓ̉ÛÍÚË‚Ì ̊È ÚÂÔÎÓÔÂÂÌÓÒ.

11
Erdelyi A., ed.Tables of integral transforms. Vol. 2. Based, in part, on notes left by Harry Bateman. McGraw-Hill, 1954. (Bateman Manuscript Project). (Russ. ed.: Bateman H., Erdelyi A.Tablitsy integral'nykh preobrazovaniy. T. 2. Preobrazovaniya Besselya. Integraly ot spetsial'nykh funktsiy. Moscow, Nauka Publ., 1970. 328 p.).
Total in-text references: 2
  1. In-text reference with the coordinate start=8627
    Prefix
    ‚‡ (22) Ë Ú‡·Îˈ ̊ <ËÁÓ·‡ÊÂÌË | ÓË„Ë̇Î> [2] ÔËıÓ‰ËÏ Í ÒÎÂ‰Û ̨ ̆ÂÏÛ ÂÁÛÎ ̧Ú‡ÚÛ: Ψ(p,X,τ) ∣ ∣ ∣ ∣ ∆>0 ≡ 1 εa2[α1(p)−α2(p)] L−1 [ exp(−X √ s) √ s+α2(p) − exp(−X √ s) √ s+α1(p) ] = = 1 εa2[α1(p)−α2(p)] { α1(p) exp[Xα1(p) +τα21(p)]erfc ( X 2 √ τ +α1(p) √ τ ) − −α2(p) exp[Xα2(p) +τα22(p)]erfc ( X 2 √ τ +α2(p) √ τ )} ,(25) „‰Â erfc(x) = 2 √ π +∞∫ x e−t 2 dt| ‰ÓÔÓÎÌËÚÂÎ ̧̇ˇ ÙÛÌÍˆËˇ Ó ̄Ë·ÓÍ √‡ÛÒÒ‡
    Exact
    [11]
    Suffix
    . 3. –ÂÁÛÎ ̧Ú‡Ú ̊ Ë Ëı Ó·ÒÛʉÂÌË 1.»ÒÍÓÏÓ ÚÂÏÔÂ‡ÚÛÌÓ ÔÓΠ‚ ÔÓ‰‚ËÊÌÓÈ ÒËÒÚÂÏ ÍÓÓ‰ËÌ‡Ú (13) ‚ ‡ÒÒχÚË‚‡ÂÏÓÈ ÒËÚÛ‡ˆËË, ÍÓ„‰‡∆>0, ÔÓÎÌÓÒÚ ̧ ̨ ÓÔ‰ÂÎÂÌÓ ‡‚ÂÌÒÚ‚‡ÏË (19), (21), (23), (24), (25) Ë ÙÓÏÛÎÓÈ Ó·‡ ̆ÂÌˡ (18) ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡. 2.

  2. In-text reference with the coordinate start=9721
    Prefix
    ) ∣ ∣ ∣ ∣ ε=0 =Q0 ∫τ 0 exp(−Λp2t) { 1 √ πt exp [ − ( X 2 √ t + V 2 √ t )2] − − V 2 erfc ( X 2 √ t + V 2 √ t )} dt.(26) “‡ÍËÏ Ó·‡ÁÓÏ, ‰Îˇ ̇ıÓʉÂÌˡ ËÒÍÓÏÓ„Ó ÚÂÏÔÂ‡ÚÛÌÓ„Ó ÔÓΡ ‚ ÔÓ‰‚ËÊÌÓÈ ÒËÒÚÂÏ ÍÓÓ‰ËÌ‡Ú (13) ÔËε= 0‰ÓÒÚ‡ÚÓ ̃ÌÓ ‚ÓÒÔÓÎ ̧ÁÓ‚‡Ú ̧Òˇ ‡‚ÂÌÒÚ‚‡ÏË (19), (26), ÙÓÏÛÎÓÈ (18) Ó·‡ ̆ÂÌˡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡ Ë Ú‡·Îˈ‡ÏË ËÌÚ„‡ÎÓ‚ ÒÔˆˇΠ̧Ì ̊ı ÙÛÌ͈ËÈ
    Exact
    [11]
    Suffix
    : θ(ρ,X,τ) ∣ ∣ ∣ ∣ ε=0 = Q0 2Λ ∫τ 0 1 t exp ( − ρ2 4Λt ){ 1 √ πt exp [ − ( X 2 √ t + V 2 √ t )2] − − V 2 erfc ( X 2 √ t + V 2 √ t )} dt,ρ>0,X>0,τ>0.(27) 3.– ̄ÂÌË ÒÏ ̄‡ÌÌÓÈ Á‡‰‡ ̃Ë (14) ÏÓÊÂÚ · ̊Ú ̧ ̇ȉÂÌÓ ÏÂÚÓ‰ÓÏ Ï‡ÎÓ„Ó Ô‡‡ÏÂÚ‡ [12]. ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â θ(ρ,X,τ) = ∑∞ k=0 εkθk(ρ,X,τ),(28) „‰Â ÙÛÌ͈ËÓ̇Π̊θk(ρ,X,τ),k= 0,1,2,.

12
Cole J.D.Perturbation Methods in Applied Mathematics. Blaisdell Publishing Company, Waltham, 1968. (Russ. ed.: Cole J.D.Metody vozmushcheniy v prikladnoy matematike. Moscow, Mir Publ., 1972. 276 p.).
Total in-text references: 1
  1. In-text reference with the coordinate start=9905
    Prefix
    ̧ÁÓ‚‡Ú ̧Òˇ ‡‚ÂÌÒÚ‚‡ÏË (19), (26), ÙÓÏÛÎÓÈ (18) Ó·‡ ̆ÂÌˡ ËÌÚ„‡Î ̧ÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡Ìˡ √‡ÌÍÂΡ ÌÛÎÂ‚Ó„Ó ÔÓˇ‰Í‡ Ë Ú‡·Îˈ‡ÏË ËÌÚ„‡ÎÓ‚ ÒÔˆˇΠ̧Ì ̊ı ÙÛÌ͈ËÈ [11]: θ(ρ,X,τ) ∣ ∣ ∣ ∣ ε=0 = Q0 2Λ ∫τ 0 1 t exp ( − ρ2 4Λt ){ 1 √ πt exp [ − ( X 2 √ t + V 2 √ t )2] − − V 2 erfc ( X 2 √ t + V 2 √ t )} dt,ρ>0,X>0,τ>0.(27) 3.– ̄ÂÌË ÒÏ ̄‡ÌÌÓÈ Á‡‰‡ ̃Ë (14) ÏÓÊÂÚ · ̊Ú ̧ ̇ȉÂÌÓ ÏÂÚÓ‰ÓÏ Ï‡ÎÓ„Ó Ô‡‡ÏÂÚ‡
    Exact
    [12]
    Suffix
    . ¬ ̋ÚÓÏ ÒÎÛ ̃‡Â θ(ρ,X,τ) = ∑∞ k=0 εkθk(ρ,X,τ),(28) „‰Â ÙÛÌ͈ËÓ̇Π̊θk(ρ,X,τ),k= 0,1,2,..., |  ̄ÂÌˡ ÒÏ ̄‡ÌÌÓÈ Á‡‰‡ ̃Ë (14), ‚ ÍÓÚÓÓÈ „‡ÌË ̃ÌÓ ÛÒÎÓ‚Ë ÔËX= 0Á‡ÏÂÌÂÌÓ ÒÓÓÚ‚ÂÚÒÚ‚ÂÌÌÓ ÛÒÎӂˡÏË ∂θk ∂X ∣ ∣ ∣ ∣ ∣ X=0 =      −2πQ0δ(ρ),k= 0; [ a2 ∂θk−1 ∂τ −Λ0 1 ρ ∂ ∂ρ ρ ∂θk−1 ∂ρ −a2V ∂θk−1 ∂X ]∣∣ ∣ ∣ ∣ X=0 ,k= 1,2,3,.