Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments

DOI10.1016/j.mcm.2008.10.001zbMath1171.34321OpenAlexW2094494078MaRDI QIDQ732653

Manuel Pinto

Publication date: 12 October 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.10.001

zbMATH Keywords

equivalenceasymptotic behaviordeviating argument

Mathematics Subject Classification ID

Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items

Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type, Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments, Existence and global exponential stability of equilibrium for impulsive neural network models with generalized piecewise constant delay, Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems, Quasilinear retarded differential equations with functional dependence on piecewise constant argument, Exponential stability and periodic solutions of impulsive neural network models with piecewise constant argument, On generalized impulsive piecewise constant delay differential equations, Unnamed Item, Stability analysis of partial differential equations with piecewise constant arguments, Unnamed Item, Study of solutions to some functional differential equations with piecewise constant arguments, Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument, Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions, Stability of numerical solution for partial differential equations with piecewise constant arguments, Unnamed Item, Multiple periodic solutions for delay differential equations with a general piecewise constant argument, THREE POSITIVE PERIODIC SOLUTIONS FOR DYNAMIC EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT AND IMPULSE ON TIME SCALES, Functional Differential Equations with Piecewise Constant Argument, Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument, Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument, Boundness and linearisation of a class of differential equations with piecewise constant argument, Green's function for periodic solutions in alternately advanced and delayed differential systems, Uniform approximation of impulsive Hopfield cellular neural networks by piecewise constant arguments on \([\tau,\infty)\), On a certain impulsive differential system with piecewise constant arguments, 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, Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems, Global exponential periodicity and stability of neural network models with generalized piecewise constant delay, Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays, Stability analysis of periodic solutions in alternately advanced and retarded neural network models with impulses, Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments, Behavior of the solutions of a partial differential equation with a piecewise constant argument, Minimal and maximal solutions to first-order differential equations with piecewise constant generalized delay

Cites Work

• Retarded differential equations with piecewise constant delays
• Advanced differential equations with piecewise constant argument deviations
• On a logistic equation with piecewise constant arguments
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• Linearization near the integral manifold for a system of differential equations with piecewise constant argument
• Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence
• Green's function for second-order periodic boundary value problems with piecewise constant arguments
• On the integral manifold for a system of differential equations with piecewise constant argument
• Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
• Generalized finite moments and Liouville-Green approximations
• Green's function for second order differential equations with piecewise constant arguments
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic solutions for second order delay differential equations
• Asymptotic equivalence of neutral and infinite retarded differential equations
• An Equation Alternately of Retarded and Advanced Type
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item