The method of upper and lower solutions and interval method for first order differential equations

DOI10.1016/0096-3003(87)90052-XzbMath0622.34006MaRDI QIDQ1090821

Vangipuram Lakshmikantham, Seenith Sivasundaram

Publication date: 1987

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

zbMATH Keywords

interval analysismonotone iterative techniquelower and upper boundsconstructive existence results

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Interval and finite arithmetic (65G30)

Related Items (4)

Applications of interval analysis to minimal and maximal solutions of differential equations ⋮ Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities ⋮ Method of upper and lower solutions and interval method for semilinear Euler-Poisson-Darboux equations ⋮ A brief biography and survey of collected works of V. Lakshmikantham

Cites Work

• A generalization of the method of upper and lower solutions for integral equations
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