Almost periodic solutions of a class of singularly perturbed differential equations with piecewise constant argument

DOI10.1016/S0362-546X(98)00076-5zbMath0929.34038MaRDI QIDQ4253170

Rong Yuan

Publication date: 16 January 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

singular perturbationsalmost-periodic solutionspiecewise constant argumentalmost-periodic sequenceshybrid dynamical systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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On the almost automorphy of bounded solutions of differential equations with piecewise constant argument ⋮ Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument ⋮ Massera criterion for periodic solutions of differential equations with piecewise constant argu\-ment ⋮ On the solutions of a second order nonlinear system with almost periodic forcing ⋮ On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument ⋮ The upwind finite difference fractional steps method for combinatorial system of dynamics of fluids in porous media and its application ⋮ On the second-order differential equation with piecewise constant argument and almost periodic coefficients

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