New results on linearization of differential equations with piecewise constant argument
From MaRDI portal
Publication:2301723
DOI10.1007/s12346-020-00353-wzbMath1459.34145OpenAlexW3002493446WikidataQ126294649 ScholiaQ126294649MaRDI QIDQ2301723
Publication date: 25 February 2020
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-020-00353-w
linearizationperiodicitydifferential equationpiecewise constant argument\(\alpha\)-exponential dichotomy
Asymptotic theory of functional-differential equations (34K25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) General theory of functional-differential equations (34K05)
Related Items (2)
Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Asymptotic behavior of the solutions of a partial differential equation with piecewise constant argument
Cites Work
- Unnamed Item
- Unnamed Item
- Sharpness for \(C^1\) linearization of planar hyperbolic diffeomorphisms
- Structural stability of planar quasihomogeneous vector fields
- Linearization of class \(C^{1}\) for contractions on Banach spaces
- \(C^{1}\) linearization for planar contractions
- A simple proof of the Grobman-Hartman theorem for nonuniformly hyperbolic flows
- Nonlinear hybrid continuous/discrete-time models
- Generalized exponential dichotomy and global linearization
- Hartman's linearization on nonautonomous unbounded system
- Strongly topological linearization with generalized exponential dichotomy
- The Euler-Maruyama approximation of solutions to stochastic differential equations with piecewise constant arguments
- Topological decoupling, linearization and perturbation on inhomogeneous time scales
- Asymptotic behavior of solutions of differential equations with piecewise constant arguments
- Topological equivalence and structural stability for linear difference equations
- A Hartman-Grobman theorem for scalar reaction-diffusion equations
- The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
- Differentiability of the Hartman-Grobman linearization
- Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments
- A Grobman-Hartman theorem for differential equations with piecewise constant arguments of mixed type
- Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity
- On Hartman's linearization theorem and Palmer's linearization theorem
- Structural stability of planar homogeneous polynomial vector fields: Applications to critical points and to infinity
- On the linearization theorem of Fenner and Pinto
- On the topological classification of dynamic equations on time scales
- A generalization of Hartman's linearization theorem
- Boundness and linearisation of a class of differential equations with piecewise constant argument
- On periodic solutions of differential equations with piecewise constant argument
- Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems
- Stability of differential equations with piecewise constant arguments of generalized type
- A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics
- Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument
- On the reduction principle for differential equations with piecewise constant argument of generalized type
- A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy
- Source–sink impulsive bioeconomic models: Seasonal closures with fixed length
- Periodic solutions of differential equations with a general piecewise constant argument and applications
- Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments
- On a Hartman linearization theorem for a class of ODE with impulse effect
- Exponential dichotomy, topological equivalence and structural stability for differential equations with piecewise constant argument
- Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument
- TOPOLOGICAL LINEARIZATION OF DEPCAGS WITH UNBOUNDED NONLINEAR TERMS
- Hölder regularity of topological equivalence functions of DEPCAGs with unbounded nonlinear terms
- Existence and Stability of Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Argument
- Stable invariant manifolds for delay equations with piecewise constant argument
- On the Local Linearization of Differential Equations
- A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria
This page was built for publication: New results on linearization of differential equations with piecewise constant argument
