On the method of upper and lower solutions in abstract cones

DOI10.4064/AP-42-1-159-164zbMath0544.34056OpenAlexW850917956MaRDI QIDQ3333396

Vangipuram Lakshmikantham, S. G. Leela

Publication date: 1983

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-42-1-159-164

zbMATH Keywords

partial orderlower solutionsupper solutionsuniqueness of solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20)

Related Items (5)

Extremal solutions and comparison principle for nonlinear integro-differential equations in a Banach space ⋮ A note on the theorem of Lakshmikantham and Leela ⋮ Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham

This page was built for publication: On the method of upper and lower solutions in abstract cones