Almost automorphic solutions for differential equations with piecewise constant argument in a Banach space

DOI10.1016/j.na.2010.11.038zbMath1216.34075OpenAlexW2044310960MaRDI QIDQ631704

William Dimbour

Publication date: 14 March 2011

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.2010.11.038

zbMATH Keywords

spectral theoryuniform spectrumdifferential equations with piecewise constant argumentalmost automorphic solution

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (13)

Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type ⋮ S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space ⋮ Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ Approximation of mild solutions of delay integro-differential equations on Banach spaces ⋮ Stability analysis of partial differential equations with piecewise constant arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ Stability of numerical solution for partial differential equations with piecewise constant arguments ⋮ Approximation of mild solutions of delay differential equations on Banach spaces ⋮ On the existence of almost automorphic solutions of Volterra difference equations ⋮ Asymptotically almost automorphic solutions of differential equations with piecewise constant argument ⋮ ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT ⋮ Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments ⋮ Analytical and numerical stability of partial differential equations with piecewise constant arguments

Cites Work

• Retarded differential equations with piecewise constant delays
• Advanced differential equations with piecewise constant argument deviations
• On the almost automorphy of bounded solutions of differential equations with piecewise constant argument
• A spectral countability condition for almost automorphy of solutions of differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Almost automorphic solutions for differential equations with piecewise constant argument in a Banach space