On the Existence of Solutions of Ordinary Differential Equations in Banach Spaces

DOI10.1515/MS-2015-0041zbMath1363.34201OpenAlexW2566951617MaRDI QIDQ5502372

Aldona Dutkiewicz

Publication date: 26 August 2015

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0041

zbMATH Keywords

Nagumo's theoremKuratowski measure of compactness

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (3)

On existence and uniqueness of solutions for ordinary differential equations in locally convex topological linear spaces ⋮ On Non-local Boundary-Value Problems for Higher-Order Non-linear Functional Differential Equations ⋮ Successive approximations for a differential equation in a Banach space via Constantin condition

Cites Work

• On Nagumo's theorem
• On the aronszajn property for a differential equation of fractional order in Banach spaces
• Unique solvability of a non-linear non-local boundary-value problem for systems of non-linear functional differential equations
• On existence theorems for differential equations in Banach spaces

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