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On the two-point boundary value problem for higher-order parabolic equations
Luchko Volodymyr Mykolayovych 1
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: the two-point boundary value problem, higher-order parabolic equations
Abstract

The existence of the classical solution and it's estimations are established on the whole space.

References

[1] Ptashnik B.I. Incorrect boundary value problems for partial differential equations. - K.: Nauk. Dumka, 1984. - 264 p.

[2] Eidelman S.D. Parabolic systems. - M.: Nauka, 1964. - 443 p.

[3] Markushevich A.I. Theory of analytical functions. - M.: State Publishing House of Technical and Theoretical Literature, 1950. - 703 p.

[4] Matiychuk M.I. Parabolic singular boundary value problems. - Kyiv: Institute of Mathematics, NAS of Ukraine 1999. - 176 p.

[5] Petrovsky I.G. On the Cauchy problem for systems of linear partial differential equations in the domain of non-analytic functions // Bull. Moscow State University. Section A. - 1938. - 1, Issue 7.

Cite
ACS Style
Luchko, V.M. On the two-point boundary value problem for higher-order parabolic equations. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Luchko VM. On the two-point boundary value problem for higher-order parabolic equations. Bukovinian Mathematical Journal. 2018; 1(228).
Chicago/Turabian Style
Volodymyr Mykolayovych Luchko. 2018. "On the two-point boundary value problem for higher-order parabolic equations". Bukovinian Mathematical Journal. 1 no. 228.
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