THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

DOI10.1017/S0004972708000944zbMath1162.45007OpenAlexW2152194557MaRDI QIDQ3603868

Aneta Sikorska-Nowak, Donal O'Regan, Ravi P. Agarwal

Publication date: 19 February 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708000944

zbMATH Keywords

measure of noncompactnessBanach spaceexistence theoremHenstock-Kurzweil-Pettis integralnonlinear integrodifferential equationpseudo-solutionset of solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract integral equations, integral equations in abstract spaces (45N05)

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Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces ⋮ On an integral equation under Henstock-Kurzweil-Pettis integrability ⋮ Unnamed Item ⋮ Existence and global attractivity of solutions of a nonlinear functional integral equation ⋮ On the existence of weak solutions of nonlinear integral equations in Banach spaces

Cites Work

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• Convergence theorems for the Henstock-Kurzweil-Pettis integral
• On Kurzweil generalized ordinary differential equations
• Riemann integration in Banach spaces
• Topological dynamics of ordinary differential equations and Kurzweil equations
• On the set of solutions of the Cauchy problem in Banach spaces
• Kneser type theorems for ordinary differential equations in Banach spaces
• Existence results for nonlinear integral equations
• The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem
• On the existence of weak solutions of differential equations in nonreflexive banach spaces
• Existence theory for nonlinear Volterra integrodifferential and integral equations
• Pettis Integration
• On Integration in Vector Spaces

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