Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution

DOI10.1016/J.JMAA.2017.12.005zbMath1400.35176OpenAlexW2774633965MaRDI QIDQ1706394

Dulat S. Dzhumabaev

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.005

zbMATH Keywords

algorithmwell-posednessgeneral solutionsolvability criteriafamily of loaded ordinary differential equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (5)

On the well-posedness of a singular problem for linear differential equations ⋮ Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type ⋮ On one solution of a periodic boundary-value problem for a third-order pseudoparabolic equation ⋮ New general solutions of ordinary differential equations and the methods for the solution of boundary-value problems ⋮ On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution

Cites Work

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• On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order
• The development of general differential and general differential-boundary systems
• Well-posedness of initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables
• Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations
• On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
• Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables
• Well-posed solvability of nonlocal boundary value problems for systems of hyperbolic equations
• Numerical method of solution to loaded nonlocal boundary value problems for ordinary differential equations
• On the numerical solution of loaded systems of ordinary differential equations with nonseparated multipoint and integral conditions
• Periodic Solutions of Hyperbolic Partial Differential Equations in the Large
• Periodic Solutions of a Class of Weakly Nonlinear Hyperbolic Partial Differential Equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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