Convergence of monotone iterations for a differential problem

DOI10.1007/s101140000083zbMath0973.34007OpenAlexW2024344481MaRDI QIDQ5925961

Jankowski, Tadeusz

Publication date: 27 November 2001

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000083

zbMATH Keywords

convergencelower and upper solutionsminimal and maximal solutionsmonotone sequences

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

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Monotone iterative techniques for parameterized BVPs of abstract semilinear evolution equa\-tions

Cites Work

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• One-parameter imbedding techniques for the solution of nonlinear boundary-value problems
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• Monotone iterations for first order differential equations with a parameter
• Contents/Inhaltsverzeichnis
• 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 a class of functional boundary value problems for the equation x = f(t,x,x',x,λ)