A PROBLEM WITH NONLOCAL CONDITION FOR ONE-DIMENSIONAL HYPERBOLIC EQUATION

DOI10.18287/2541-7525-2021-27-1-7-14zbMath1494.35109OpenAlexW4286545251WikidataQ115503752 ScholiaQ115503752MaRDI QIDQ5089866

Andreĭ Vladimirovich Bogatov

Publication date: 15 July 2022

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu643

zbMATH Keywords

nonlocal problemintegral conditionssingularity of solution

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• A mixed problem with an integral condition for a hyperbolic equation.
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• The \(L_2\) solvability of a nonlocal problem with integral conditions for a hyperbolic equation

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