Applications of interval analysis to minimal and maximal solutions of differential equations

DOI10.1016/0096-3003(91)90108-YzbMath0725.65079OpenAlexW2042900536MaRDI QIDQ2277777

Yong Sun, Vangipuram Lakshmikantham

Publication date: 1991

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90108-y

zbMATH Keywords

interval analysisinitial value problemboundary value problemperiodic boundary conditionsextremal solutionsenclosure of solutionsDiscontinuitiesinterval integral operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Interval and finite arithmetic (65G30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items

Application of interval analysis to impulsive differential equations ⋮ Solving a nonhomogeneous linear system of interval differential equations

Cites Work

• The method of upper and lower solutions and interval method for first order differential equations
• A generalization of the method of upper and lower solutions for integral equations
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