Existence and uniqueness of pseudo-almost periodic solutions to semilinear differential equations and applications

DOI10.1016/j.na.2005.11.023zbMath1112.34034OpenAlexW2043047356MaRDI QIDQ860735

Tocka Diagana

Publication date: 9 January 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.11.023

zbMATH Keywords

invariant subspacepseudo-almost periodic functionreducing subspacealmost-periodic functionalgebraic sum of unbounded linear operatorsBanach fixed-point principleexistence and uniqueness of pseudo-almost periodic solutioninfinitesimal generator of a \(c_{0}\)-groupmethod of the invariant subspaces

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Abstract hyperbolic equations (35L90) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (2)

Stepanov-like pseudo-almost periodicity and semilinear differential equations with uniform continuity ⋮ Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces

Cites Work

• Convexity, boundedness, and almost periodicity for differential equations in Hilbert space
• Composition of pseudo almost-periodic functions and Cauchy problems with operator of nondense domain
• Pseudo almost periodic solutions of some differential equations
• Pseudo almost periodic solutions to some differential equations
• Some remarks on some second-order hyperbolic differential equations
• Pseudo almost periodic solutions of some differential equations. II
• Integration of Vector-Valued Pseudo-Almost Periodic Functions
• Topics in abstract differential equations
• Topics in Almost Automorphy
• Almost automorphic solutions of evolution equations
• Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations
• Pseudo almost periodic solutions for some differential equations in a banach space
• Composition of pseudo almost-periodic functions and semilinear differential equations.
• Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain
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