Nonlinear variation of constants formula for differential equations with state-dependent delays
From MaRDI portal
Publication:330546
DOI10.1007/s10884-015-9445-yzbMath1355.34098OpenAlexW1969077688MaRDI QIDQ330546
Publication date: 26 October 2016
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9445-y
delay differential equationsstate-dependent delaydifferentiability with respect to parametersvariation of constants formula
Asymptotic theory of functional-differential equations (34K25) General theory of functional-differential equations (34K05)
Related Items
Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays, Periodicity of solutions for non-autonomous neutral functional differential equations with state-dependent delay
Cites Work
- Derivation of variation of parameters formulas for non-linear Volterra equations, using a method of embedding
- Linearized stability in functional differential equations with state-dependent delays
- Smoothness properties of semiflows for differential equations with state-dependent delays
- Differentiability of solutions with respect to the initial data in differential equations with state-dependent delays
- Linearizing equations with state-dependent delays
- Second-order differentiability with respect to parameters for differential equations with adaptive delays
- Lipschitz stability of nonlinear systems of differential equations
- Generalized variation-of-constants formula for nonlinear functional differential equations
- Nonlinear variation of parameters formula for integro-differential equations of Volterra type
- Introduction to functional differential equations
- On differentiability of solutions with respect to parameters in state-dependent delay equations
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- Linearized stability in periodic functional differential equations with state-dependent delays
- An extension of the Alekseev variation of constant formula for neutral nonlinear perturbed equation with an application to the relative asymptotic equivalence
- A perspective on the numerical treatment of Volterra equations
- Stability of periodic solutions of state-dependent delay-differential equations
- On second-order differentiability with respect to parameters for differential equations with state-dependent delays
- Exponential stability of a state-dependent delay system
- Perturbations of nonlinear systems of differential equations. III
- Perturbations of nonlinear systems of differential equations. II
- On the problem of linearization for state-dependent delay differential equations
- Variation of Parameters for Nonlinear Differential-Difference Equations
- A nonlinear variation of constants formula for volterra equations
- A nonlinear variation-of-constants formula for functional differential equations
- Perturbations of nonlinear systems of differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
