Continuous dependence on parameters

DOI10.1016/0362-546X(81)90021-3zbMath0462.34046OpenAlexW2054408885MaRDI QIDQ3913115

Zdenek Vorel

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90021-3

zbMATH Keywords

functional differential equationsintegral Volterra equationscausal operatorssufficient and necessary conditions for continuous dependence

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General theory of functional-differential equations (34K05) Volterra integral equations (45D05)

Related Items (4)

The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters ⋮ Evolution Generated by Semilinear Dissipative Plus Compact Operators ⋮ Boundary-value problems for systems of ordinary differential equations ⋮ On boundary value problems for systems of linear functional differential equations

Cites Work

• Continuous dependence on parameters: on the best possible results
• On the solutions of certain integral-like operator equations. Existence, uniqueness and dependence theorems
• Continuous dependence of solutions of differential equations on a parameter
• Generalized ordinary differential equations and continuous dependence on a parameter
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