Existence theory for integrodifferential equations and Henstock-Kurzweil integral in Banach spaces

DOI10.1155/2007/31572zbMath1148.26010OpenAlexW2013371176MaRDI QIDQ2472046

Aneta Sikorska-Nowak

Publication date: 20 February 2008

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

Full work available at URL: https://eudml.org/doc/54639

zbMATH Keywords

Henstock-Kurzweil integralBanach space valued functionsVolterra type integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Denjoy and Perron integrals, other special integrals (26A39) Calculus of functions taking values in infinite-dimensional spaces (26E20)

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Cites Work

• On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
• On Kurzweil generalized ordinary differential equations
• The Henstock integral for Banach-valued functions
• Riemann integration in Banach spaces
• Convergence theorems of the Denjoy-Bochner, Denjoy-Pettis and Denjoy-Dunford integrals
• On conditions of differentiability almost everywhere for absolutely continuous Banach-valued functions
• Existence results for nonlinear integral equations
• Existence results for singular integral equations of Fredholm type
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Generalized ordinary differential equations and continuous dependence on a parameter
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence theory for nonlinear Volterra integrodifferential and integral equations
• RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES AND HENSTOCK-KURZWEIL INTEGRALS
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