Boundary Value Problems for Odd Order Forward-Backward-Type Differential Equations with Two Time Variables

Сибирский математический журнал

S. V. Potapova¹  A. I. Kozhanov² 

[1] North-Eastern Federal University, Institute of Mathematics;Novosibirsk State University

关键词: ultraparabolic equation;    forward-backward-type equation;    discontinuous coefficients;    boundary value problems;    existence;    uniqueness;   

DOI  :  10.1134/S0037446618050117

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those that have all Sobolev generalized derivatives entering the equation under study.

【 授权许可】

CC BY