On a Solution of a Nonlinear Nonlocal Boundary Value Problem for one Class of Hyperbolic Equation
P. B. Abdimanapova, Svetlana Temesheva
Abstract
Abstract In this paper we consider a nonlinear nonlocal boundary value problem for one class of systems of hyperbolic equations with mixed derivatives. The problem under consideration is investigated by reducing it to a family of nonlinear boundary value problems for integro-differential equations. One algorithm modification’s of D.S. Dzhumabaev parametrization method is proposed and its convergence is proved. Sufficient conditions for the existence of isolated in some set solutions of nonlinear nonlocal boundary value problem for systems of hyperbolic equations with mixed derivatives are revealed.
Topics & Concepts
MathematicsHyperbolic partial differential equationNonlinear systemBoundary value problemMathematical analysisClass (philosophy)Convergence (economics)Mixed boundary conditionBoundary (topology)Applied mathematicsPartial differential equationEconomicsComputer scienceEconomic growthQuantum mechanicsArtificial intelligencePhysicsDifferential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsAdvanced Mathematical Physics Problems