Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations

DOI10.1216/RMJ-2013-43-3-793zbMath1291.34102arXiv1402.5638MaRDI QIDQ2393429

Tocka Diagana

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5638

zbMATH Keywords

Dirichlet boundary conditionevolution familySchauder fixed point theoremsecond order differential equationpseudo-almost automorphic functionSine-Gordon equationnonautonomous differential equation of first orderAcquistapace-Terreni conditionexpotential stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Classical almost periodic functions, mean periodic functions (42A75) Applications of operator theory to differential and integral equations (47N20) Linear boundary value problems for ordinary differential equations (34B05) Abstract hyperbolic equations (35L90) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (2)

Almost periodic solutions for some higher-order nonautonomous differential equations with operator coefficients ⋮ Retarded stochastic differential equations with infinite delay driven by Rosenblatt process

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