Existence and successive approximations of mild solution for integro-differential equations in Banach spaces
DOI10.2478/AWUTM-2024-0003MaRDI QIDQ6494185
Kattar Enada Bensatal, Mouffak Benchohra, Abdelkrim Salim
Publication date: 29 April 2024
Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)
global convergenceuniquenessmild solutionresolvent operatorintegro-differential equationsuccessive approximations
Integro-ordinary differential equations (45J05) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Integro-differential operators (47G20)
Cites Work
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- Regularity of solutions of evolution integrodifferential equations with deviating argument
- Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval
- Analytic resolvent operators for integral equations in Banach space
- Some considerations for linear integrodifferential equations
- Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
- Successive approximations for solutions of functional integral equations
- Nonlocal Cauchy problem for analytic resolvent integrodifferential equations in Banach spaces
- Local attractivity in nonautonomous semilinear evolution equations
- Punti uniti in trasformazioni a codominio non compatto
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
- Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
- Resolvent Operators for Integral Equations in a Banach Space
- Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems
- Nonlocal problems for integrodifferential equations via resolvent operators and optimal controls
- Measure of noncompactness and fractional hybrid differential equations with hybrid conditions
- Global stability results for Volterra-Hadamard random partial fractional integral equations
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