高偶阶偏微分方程在区域边界上退化的初边值问题的可解性

IF 0.58 Q3 Engineering Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI:10.1134/S1990478923020199

A. K. Urinov, M. S. Azizov

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引用次数: 0

摘要

利用贝塞尔算子，在矩形上给出了退化高偶阶偏微分方程的初边值问题。证明了所研究问题解的存在性、唯一性和稳定性。

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On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary

An initial–boundary value problem is posed in a rectangle for a degenerate partial differential equation of high even order with a Bessel operator. The existence, uniqueness, and stability of a solution of the problem under study are proved.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.