Pseudo almost periodic solutions to integro-differential equations of heat conduction in materials with memory

DOI10.1016/j.nonrwa.2012.03.009zbMath1253.35195OpenAlexW2141952422MaRDI QIDQ1926234

Hui-Sheng Ding, Jin Liang, Ti-Jun Xiao

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.03.009

zbMATH Keywords

integro-differential equationspseudo almost periodicnonlocal Cauchy problems heat conduction in materials with memory

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Integro-partial differential equations (35R09)

Related Items (12)

Square-mean \(\mu \)-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations ⋮ Asymptotic periodicity for flexible structural systems and applications ⋮ Periodicity and ergodicity for abstract evolution equations with critical nonlinearities ⋮ Weighted pseudo almost automorphic solutions of hyperbolic semilinear integro-differential equations ⋮ Pseudo almost periodic mild solution of nonautonomous impulsive integro-differential equations ⋮ Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory ⋮ Existence results for neutral integro-differential equations with nonlocal conditions ⋮ Existence of square-mean almost automorphic solutions to stochastic functional integrodifferential equations in Hilbert spaces ⋮ Approximate controllability of semi-linear neutral integro-differential equations with nonlocal conditions ⋮ Pseudo asymptotically periodic solutions for Volterra integro‐differential equations ⋮ Pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain ⋮ Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations

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