On a nonlinear Volterra integral equation in a Banach space

DOI10.1016/0022-247X(78)90278-0zbMath0423.45016MaRDI QIDQ1134329

Gustaf Gripenberg

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spaceVolterra equationexistence and uniqueness results

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Asymptotic properties of solutions of time-dependent Volterra integral equations ⋮ Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability ⋮ On some integral and integro-differential equations in a Hilbert space ⋮ An abstract nonlinear Volterra equation

Cites Work

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• Nonlinear evolution equations in an arbitrary Banach space
• Nonlinear semigroups and evolution equations
• Stability Theorems for a Class of Functional Differential Equations
• An Existence Result for a Nonlinear Volterra Integral Equation in a Hilbert Space

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