\(C^{1+\alpha}\)-strict solutions and wellposedness of abstract differential equations with state dependent delay
DOI10.1016/j.jde.2016.09.008zbMath1353.34093OpenAlexW2519221502MaRDI QIDQ329253
Jianhong Wu, Michelle Pierri, Eduardo M. Hernández
Publication date: 21 October 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.008
partial differential equationsanalytic semigroupstrict solutionsbounded delaystate dependent delay equations
One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30)
Related Items (28)
Cites Work
- On \(C^\alpha\)-Hölder classical solutions for non-autonomous neutral differential equations: the nonlinear case
- A condition on delay for differential equations with discrete state-dependent delay
- A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
- A note on partial functional differential equations with state-dependent delay
- Partial differential equations with discrete and distributed state-dependent delays
- Non-linear partial differential equations with discrete state-dependent delays in a metric space
- Semigroups of linear operators and applications to partial differential equations
- Dirichlet problem for the diffusive Nicholson's blowflies equation
- 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.
- Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
- On differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays
- Recent advances in delay differential and difference equations. Research papers based on the presentations at the international conference on delay differential and difference equations and applications, Balatonfüred, Hungary, July 15--19, 2013
- Existence results for an impulsive abstract partial differential equation with state-dependent delay
- Smoothness of semiflows for parabolic partial differential equations with state-dependent delay
- Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold
- Abstract algebraic-delay differential systems and age structured population dynamics
- Dynamics for a type of general reaction-diffusion model
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- Oscillation and Chaos in Physiological Control Systems
- An Age-Structured Population Model with State-Dependent Delay: Derivation and Numerical Integration
- Analytic semigroups and optimal regularity in parabolic problems
This page was built for publication: \(C^{1+\alpha}\)-strict solutions and wellposedness of abstract differential equations with state dependent delay