Разрешимость нелокальной задачи для гиперболического уравнения с вырождающимися интегральными условиями

DOI10.14498/VSGTU1707zbMath1449.35288OpenAlexW2965398210MaRDI QIDQ5216637

Lyadmila Stepanovna Pulkina, V. A. Kirichek

Publication date: 18 February 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1707

zbMATH Keywords

Sobolev spacegeneralized solutionhyperbolic equationnonlocal problemdynamical boundary conditionsdegenerate nonlocal conditionsfirst and second kind integral conditions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (3)

ABOUT SOLVABILITY OF ONE PROBLEM WITH NONLOCAL
 CONDITIONS FOR HYPERBOLIC EQUATION ⋮ SOLVABILITY OF A NONLOCAL PROBLEM WITH INTEGRAL CONDITIONS OF THE II KIND FOR ONE-DIMENSIONAL HYPERBOLIC EQUATION ⋮ Nonlocal problems for hyperbolic equations

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• A boundary value problem in the theory of heat conduction with a nonclassical boundary condition
• Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions

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