On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities

DOI10.1155/S1048953392000017zbMath0761.47033MaRDI QIDQ1186521

M. Kumpulainen, Vangipuram Lakshmikantham, Seppo Heikkilä

Publication date: 28 June 1992

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46784

zbMATH Keywords

mixed quasimonotonicitycoupled extremal quasisolutionssolvability of mixed monotone systems of operator equations in an ordered normed spacesystems of first and second order mixed quasimonotone differential equations with discontinuous right hand sides

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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On the second order mixed quasimonotone periodic boundary value systems in ordered Banach spaces ⋮ Existence and uniqueness of solutions for initial value problems for second order ordinary differential equations in Banach spaces

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