The nonlocal problem for a non-stationary third order composite type equation with general boundary condition

被引：0

作者：

Khashimov, A. R. ^{[1
]}

机构：

[1] Tashkent Financial Inst, 60 A,Amir Temur Str, Tashkent 100000, Uzbekistan

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2020年 / 24卷 / 01期

关键词：

non-stationary equations; fundamental solutions; boundary value problem; potential theory; energy integral method; third order equations; composite type equations; system of integral equations; nonlocal problem; CAUCHY-PROBLEM;

D O I：

10.14498/vsgtu1657

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a nonlocal boundary value problem for non-stationary composite type equation of the third order. The values of function and its derivatives up to the second order on the boundary are given as a linear combination. The initial conditions are nonlocal. We prove the unique solvability for this problem. In proving the problem solution uniqueness we use the method of energy integrals and the theory of quadratic forms. For the problem solution construction we use the potential theory and Volterra integral equations. Some asymptotic properties of the fundamental solutions of the equation are studied.

引用

页码：187 / 198

页数：12

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