Quasilinear retarded differential equations with functional dependence on piecewise constant argument

DOI10.3934/CPAA.2014.13.929zbMath1285.34059OpenAlexW2324505399MaRDI QIDQ380178

Marat U. Akhmet

Publication date: 13 November 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.929

zbMATH Keywords

periodic solutionsexponential stabilityretarded differential equationsBohr almost periodic solutionsfunctional dependence on piecewise constant argument

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05)

Related Items (5)

Multiple periodic solutions for delay differential equations with a general piecewise constant argument ⋮ Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument ⋮ Functional Differential Equations with Piecewise Constant Argument ⋮ Multiple bifurcations in an early brain tumor model with piecewise constant arguments ⋮ Stability of a spring-mass system with generalized piecewise constant argument

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Method of Lyapunov functions for differential equations with piecewise constant delay
• A spectrum relation of almost periodic solution of second order scalar functional differential equations with piecewise constant argument
• Delay differential equations: with applications in population dynamics
• Nonlinear hybrid continuous/discrete-time models
• Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
• Advanced differential equations with piecewise constant argument deviations
• Lyapunov-Razumikhin method for differential equations with piecewise constant argument
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• Periodic solutions of a neutral differential equation with piecewise constant arguments
• Differential equations with state-dependent piecewise constant argument
• Stability and periodic solutions of ordinary and functional differential equations
• Almost periodic differential equations
• A necessary and sufficient condition for the oscillation of a delay equation with continuous and piecewise constant arguments
• The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
• Necessary and sufficient condition for the global attractivity of the trivial solution of a delay equation with continuous and piecewise constant arguments
• Second-order neutral delay-differential equations with piecewise constant time dependence.
• Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence
• On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument
• Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
• Robust stability analysis of interval fuzzy Cohen-Grossberg neural networks with piecewise constant argument of generalized type
• Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences
• On periodic solutions of differential equations with piecewise constant argument
• Solutions périodiques et presque-périodiques des systèmes d'équations différentielles linéaires en distributions
• Stability of differential equations with piecewise constant arguments of generalized type
• On the reduction principle for differential equations with piecewise constant argument of generalized type
• Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments
• Exponentially Dichotomous Linear systems of Differential Equations with Piecewise Constant Argument
• Functional differential equations

This page was built for publication: Quasilinear retarded differential equations with functional dependence on piecewise constant argument