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Green's vector functions of some boundary value problems for parabolic equations with increasing coefficients and degeneration on the initial plane
Pasichnyk Halyna 1 , Cherevko Igor Mykhailovych 1 , Melnychuk V. F. 2
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords: Green's vector functions, boundary value problems, parabolic equations
Abstract

Expressions for the fundamental decision tasks Coshi and vector-founctsiy of the Grina regional tasks for one parabolic equations of the second order with growing at $|x| → ∞$ by coefficients and degeneration on initial to the plane as found.

References

[1] Ivasishen S.D., Eidelman S.D. Linear parabolic boundary value problems: examples, theorems on correctness, applications / / Mathematics today 88: Scientific and methodological collection. - K.: Vyshcha shk., 1988. - P. 76-104.

[2] Ivasishen S.D. Linear parabolic boundary value problems. - K.: Higher school. Main publishing house, 1989. - 72 p. - (Modern achievements of mathematics and its applications).

[3] Berezan L.P., Ivasyshen S.D., Pasichnyk G.S. Green's vector function of some parabolic boundary value problems for second-order equations. - Chernivtsi State University. Chernivtsi. - 1996. - 34 p. - Dep. in the State Technical University of Ukraine 08.04.96, №904-Uk96.

[4] Pasichnyk G.S., Melnychuk V.F. On boundary value problems for one parabolic equation with increasing coefficients // International conf. "Modern problems and new trends in probability theory" (Chernivtsi, June 19-26, 2005), T.2.— K., 2005.- P.88.

Cite
ACS Style
Pasichnyk, H.; Cherevko, I.M.; Melnychuk , V.F. Green's vector functions of some boundary value problems for parabolic equations with increasing coefficients and degeneration on the initial plane. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Pasichnyk H, Cherevko IM, Melnychuk VF. Green's vector functions of some boundary value problems for parabolic equations with increasing coefficients and degeneration on the initial plane. Bukovinian Mathematical Journal. 2018; 1(269).
Chicago/Turabian Style
Halyna Pasichnyk, Igor Mykhailovych Cherevko, V. F. Melnychuk . 2018. "Green's vector functions of some boundary value problems for parabolic equations with increasing coefficients and degeneration on the initial plane". Bukovinian Mathematical Journal. 1 no. 269.
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