Measures of noncompactness, Darbo maps and differential equations in abstract spaces

DOI10.1007/BF01876228zbMath0847.34069OpenAlexW2047111837MaRDI QIDQ1912664

Donal O'Regan

Publication date: 20 October 1996

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01876228

zbMATH Keywords

initial value problemBanach spaceDirichlet boundary value problemKuratowski measure of noncompactnessLeray-Schauder type nonlinear alternative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (7)

Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space ⋮ Unnamed Item ⋮ Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces ⋮ Unnamed Item ⋮ On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order ⋮ Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions ⋮ On some measures of noncompactness in the Fréchet spaces of continuous functions

Cites Work

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• Existence theorems for a two-point boundary value problem in Banach space
• Some general existence principles in the Carathéodory theory of nonlinear differential systems
• A note on the application of topological transversality to nonlinear differential equations in Hilbert spaces
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space

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