Method for solving the periodic problem for an impulsive system of hyperbolic integro-differential equations

DOI10.1063/1.5000620zbMath1463.35334OpenAlexW2756120987MaRDI QIDQ5116199

Askarbek E. Imanchiev, Anar T. Assanova

Publication date: 24 August 2020

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj207

zbMATH Keywords

solvabilitynonlocal problemquasi-linear hyperbolic equationmulti-point condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Higher-order hyperbolic systems (35L55) Parameter dependent boundary value problems for ordinary differential equations (34B08) Second-order quasilinear hyperbolic equations (35L72)

Related Items (8)

The problem with non-separated multipoint-integral conditions for high-order differential equations and a new general solution ⋮ Method for solving the periodic problem for an impulsive system of hyperbolic integro-differential equations ⋮ A multi-point initial problem for a non-classical system of a partial differential equations ⋮ Two-point boundary value problem for a partial differential equation in spaces of periodic functions ⋮ Initial-boundary-value problem for an integrodifferential equation of the third order ⋮ Unique solvability of an initial-boundary value problem for a system of third-order partial differential equations ⋮ A NONLOCAL MULTIPOINT PROBLEM FOR A SYSTEM OF FOURTH-ORDER PARTIAL DIFFERENTIAL EQUATIONS ⋮ Unnamed Item

Cites Work

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• Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation \(u_{xt}=F(x,t,u,u_ x)\)
• On the unique solvability of a family of two-point boundary-value problems for systems of ordinary differential equations
• Correct solvability of a nonlocal boundary value problem for systems of hyperbolic equations
• Well-posed solvability of nonlocal boundary value problems for systems of hyperbolic equations
• Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
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