Solvability of a finite or infinite system of discontinuous quasimonotone differential equations

DOI10.1090/S0002-9939-00-05584-2zbMath0959.34012MaRDI QIDQ4505890

Daniel C. Biles, Eric Schechter

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subsolutionquasimonotonequasisemicontinuoussup-measurable

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential equations of infinite order (34A35) Systems of nonlinear integral equations (45G15) Differential inequalities involving functions of a single real variable (34A40)

Related Items (8)

A survey of recent results for the generalizations of ordinary differential equations ⋮ Approximation by Entire Functions in the Construction of Order-Isomorphisms and Large Cross-Sections ⋮ Solvability of discontinuous functional differential systems in l_∞(M) ⋮ Extremal solutions of measure differential equations ⋮ On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations ⋮ First-order singular and discontinuous differential equations ⋮ Unnamed Item ⋮ On first-order ordinary differential equations with nonnegative right-hand sides

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