Existence and uniqueness of a solution for a non-autonomous semilinear integro-differential equation with deviated argument

DOI10.1007/s12591-011-0099-xzbMath1270.34179OpenAlexW2092919955WikidataQ115376509 ScholiaQ115376509MaRDI QIDQ691327

Rajib Haloi, Dwijendra Narain Pandey

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-011-0099-x

zbMATH Keywords

integro-differential equationanalytic semigroupBanach fixed point theoremdeviated argument

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Integro-partial differential equations (45K99)

Related Items (10)

Unnamed Item ⋮ Unnamed Item ⋮ Approximate and optimal controllability of a second order non-autonomous stochastic differential equation with deviated arguments ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ On the existence of mild solutions for a class of nonlocal quasi-linear differential equations with iterated deviating arguments ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence of weighted pseudo-almost automorphic mild solutions to non-autonomous abstract neutral differential equations with deviating arguments ⋮ Unnamed Item ⋮ On solutions to abstract Volterra integro-differential equations with iterated deviating arguments

Cites Work

• Semilinear integro-differential equations in Hilbert space
• Geometric theory of semilinear parabolic equations
• An abstract nonlinear Volterra integrodifferential equation
• Advanced differential equations with nonlinear boundary conditions
• Nonlinear abstract differential equations with deviated argument
• Differential equation s in abstract spaces
• Semilinear integrodifferential equations in Banach space
• An Abstract Parabolic Volterra Integrodifferential Equation
• Volterra Integral Equations in Banach Space
• Existence and Continuous Dependence for a Class of Nonlinear Neutral- Differential Equations
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