Мақола

Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions

Абдукомил Рисбекович ХашимовDepartment of Higher Mathematics, Statistics and Econometry, Faculty of Accounting and Auditing, Tashkent Finance Institute, A. Temur 60A, Tashkent 100000, UzbekistanDana SmetanováDepartment of Informatics and Natural Sciences, Faculty of Technology, Institute of Technology and Business in České Budějovice, Okružní 10, 370 01 Ceské Budějovice, Czech Republic

Axiomsjournal2021en

ABI

Аннотация

The article considers third-order equations with multiple characteristics with general boundary value conditions and non-local initial data. A regular solution to the problem with known methods is constructed here. The uniqueness of the solution to the problem is proved by the method of energy integrals. This uses the theory of non-negative quadratic forms. The existence of a solution to the problem is proved by reducing the problem to Fredholm integral equations of the second kind. In this case, the method of Green’s function and potential is used.

Мавзулар

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Physics Problems

Идентификаторлар

DOI: 10.3390/axioms10020110

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