SMETANOVÁ, Dana and Abdukomil RISBEKOVICH KHASHIMOV. Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions. Axioms. Basel, Switzerland: MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, vol. 10, No 2, p. 1-7. ISSN 2075-1680.
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Basic information
Original name Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions
Authors SMETANOVÁ, Dana (203 Czech Republic, guarantor, belonging to the institution) and Abdukomil RISBEKOVICH KHASHIMOV.
Edition Axioms, Basel, Switzerland, MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021, 2075-1680.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10100 1.1 Mathematics
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/75081431:_____/21:00002207
Organization unit Institute of Technology and Business in České Budějovice
Keywords in English third order equations with multiple characteristic; boundary condition; nonlocal problem; uniqueness theorem; Fredholm integral equation of the second kind; existence theorem
Tags MAT_z, RIV21, WOS
Changed by Changed by: Mgr. Nikola Petříková, učo 28324. Changed: 7/12/2021 07:14.
Abstract
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.
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