Pseudo asymptotically periodic solutions for Volterra integro‐differential equations

DOI10.1002/mma.3108zbMath1315.45005OpenAlexW2087049772MaRDI QIDQ5247877

Zhinan Xia

Publication date: 27 April 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3108

zbMATH Keywords

heat conductionperiodic solutionBanach spacemild solutionresolvent operatorVolterra integro-differential equationsmaterials with memorypseudo-\(\mathcal S\)-asymptotically \(\omega\)-periodic function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Heat equation (35K05) Asymptotics of solutions to integral equations (45M05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (7)

Weighted \(S^p\)-pseudo \(S\)-asymptotic periodicity and applications to Volterra integral equations ⋮ Optimal control problems for a semi‐linear integro‐differential evolution system with infinite delay ⋮ Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory ⋮ Asymptotic equivalence of ordinary and impulsive operator-differential equations ⋮ Pseudo almost periodic dynamics of Nicholson's blowflies model with patch structure and discontinuous harvesting ⋮ Weighted pseudo asymptotically periodic mild solutions of evolution equations ⋮ Asymptotic behavior of mild solutions for nonlinear fractional difference equations

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