Differential equations with state-dependent piecewise constant argument

DOI10.1016/j.na.2010.01.050zbMath1195.34103OpenAlexW2011891295MaRDI QIDQ965031

C. Büyükadalı, Marat U. Akhmet

Publication date: 21 April 2010

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.2010.01.050

zbMATH Keywords

periodic solutionsasymptotic stabilityexistence and uniqueness of solutionsstate-dependent piecewise constant argument

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (13)

Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ Quasilinear retarded differential equations with functional dependence on piecewise constant argument ⋮ Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type ⋮ Study of solutions to some functional differential equations with piecewise constant arguments ⋮ Robust stability analysis of interval fuzzy Cohen-Grossberg neural networks with piecewise constant argument of generalized type ⋮ Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions ⋮ Nonlocal boundary value problems for second-order functional differential equations ⋮ Global Exponential Stability of Cohen-Grossberg Neural Networks with Piecewise Constant Argument of Generalized Type and Impulses ⋮ Oscillation of numerical solution in the Runge-Kutta methods for equation \(x'(t) = ax(t) + a_{0}x([t)\)] ⋮ Functional Differential Equations with Piecewise Constant Argument ⋮ Stability analysis of recurrent neural networks with piecewise constant argument of generalized type ⋮ Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument ⋮ Stability of a spring-mass system with generalized piecewise constant argument

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