On the existence of solutions and one-step method for functional-differential equations with parameters

DOI10.21136/cmj.1994.128463zbMath0817.34006OpenAlexW2709224144MaRDI QIDQ4324003

Jankowski, Tadeusz

Publication date: 26 February 1995

Full work available at URL: https://eudml.org/doc/31410

zbMATH Keywords

existencefunctional differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Heat equation (35K05) Numerical analysis in abstract spaces (65J99)

Cites Work

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• One-step methods for retarded differential equations with parameters
• Numerical solutions of ordinary and retarded differential equations with discontinuous derivatives
• Convergence of multistep methods for retarded differential equations with parameters
• One-Step Methods of any Order for Neutral Functional Differential Equations
• Contents/Inhaltsverzeichnis
• One step methods for the numerical solution of volterra functional differential equations of neutral type
• A Constructive Theorem of Existence and Uniqueness for the Problem\documentclass{article}\pagestyle{empty}\begin{document}$ y' = f(x,y,\lambda),y(a) = \alpha,y\left( b\right) = \beta $\end{document}
• On the existence and uniqueness of solution of boundary-value problem for differential equations with parameter
• One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations
• The Numerical Solution of Volterra Functional Differential Equations by Euler’s Method