Existence and continuous dependence of the solution of a system of operator equations

DOI10.1007/BF01137230zbMath0505.47049MaRDI QIDQ1836379

V. D. Ponomarev

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

existence and continuous dependence of the solution on the datasystems of functional-differential equationssystems of operator equations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Functional-differential equations in abstract spaces (34K30)

Cites Work

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• On boundary value problems for ordinary differential equations
• Dependence on boundary data and a generalized boundary-value problem
• Continuous dependence for two-point boundary value problems
• Dependence of solutions on boundary conditions for second order ordinary differential equations
• On the existence and uniqueness of solutions of a multipoint boundary value problem
• On two-point boundary value problems for systems of ordinary non-linear, first-order differential equations

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