\(L^p\)-solutions of singular integro-differential equations

DOI10.1016/j.jmaa.2011.08.041zbMath1231.45018OpenAlexW1984559293MaRDI QIDQ643587

Ioannis K. Purnaras, Theodore Allen Burton

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.041

zbMATH Keywords

integro-differential equationssingular kernels\(L^p\) solutionsLiapunov functionals

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05)

Related Items (5)

Singular integro-differential equations with small kernels ⋮ The Maxey-Riley equation: existence, uniqueness and regularity of solutions ⋮ A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition ⋮ Existence of global solutions for some classes of integral equations ⋮ \(L^p\)-solutions for fractional integral equations

Cites Work

• A Liapunov functional for a singular integral equation
• Resolvents and solutions of weakly singular linear Volterra integral equations
• Stability properties of Volterra integrodifferential equations
• Boundedness and periodicity in integral and integro-differential equations
• Perturbation theory for Volterra integrodifferential systems
• Principal matrix solutions and variation of parameters for a Volterra integro-differential equation and its adjoint
• An Integrodifferential Equation
• The Asymptotic Behavior of the Solution of a Volterra Equation
• Periodicity in delay equations by direct fixed point mapping

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