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

Autor: Abdukomil Risbekovich Khashimov, Dana Smetanová
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Axioms, Vol 10, Iss 2, p 110 (2021)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms10020110
Popis: 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.
Databáze: Directory of Open Access Journals