A priori error bounds for general two-point boundary-value problems with arbitrarily many solutions

DOI10.1016/0362-546X(85)90087-2zbMath0584.65053OpenAlexW2040148366MaRDI QIDQ3707284

Peter Wildenauer

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90087-2

zbMATH Keywords

a priori boundsupper and lower boundsinterval arithmetic

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Interval and finite arithmetic (65G30) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• A new method for automatical computation of error bounds for the set of all solutions of nonlinear boundary value problems
• Construction of Domains with All Solutions, and the Existence of Extreme Solutions
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