Existence of periodic solutions in abstract semilinear equations and applications to biological models
DOI10.1016/j.jde.2020.07.014zbMath1450.35026OpenAlexW3087770439MaRDI QIDQ2003951
Publication date: 13 October 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.07.014
Hille-Yosida operatorBanach fixed point theoremSchauder fixed point theoremvariation of constant formula
Abstract parabolic equations (35K90) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) First-order nonlinear hyperbolic equations (35L60) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Abstract hyperbolic equations (35L90) Nonlinear evolution equations (47J35)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and conditional stability of periodic solutions to evolution equations
- Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion
- On integrated semigroups and age structured models in \(L^p\) spaces.
- Delay differential equations: with applications in population dynamics
- Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments
- Remarks on one-dimensional delay-differential equations
- Semiflows generated by Lipschitz perturbations of non-densely defined operators
- On semilinear Cauchy problems with non-dense domain
- Semigroups of linear operators and applications to partial differential equations
- Stability theory and the existence of periodic solutions and almost periodic solutions
- Introduction to functional differential equations
- Periodic motions
- Periodic solutions of a delayed, periodic logistic equation
- Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces
- Periodic solutions for some partial functional differential equations
- Asymptotic behavior of traveling fronts and entire solutions for a periodic bistable competition-diffusion system
- Theory and applications of partial functional differential equations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Quasilinear evolution equations with non-densely defined operators
- A decomposition theorem for bounded solutions and the existence of periodic solutions to periodic differential equations
- Theory and applications of abstract semilinear Cauchy problems
- Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems
- Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups
- Linear differential equations and functional analysis. II: Equations with periodic coefficients
- The existence of periodic solutions of systems of differential equations
- Periodic solutions to evolution equations: existence, conditional stability and admissibility of function spaces
- Periodic Solutions for Nonlinear Evolution Equations in a Banach Space
- Stability analysis of models of cell production systems
- Periodic solutions of semilinear evolution equations
- Optimal Harvesting for Periodic Age-Dependent Population Dynamics
- Periodic solutions for evolution equations
- Bounded and periodic solutions of finite delay evolution equations
- Semilinear equations in the “hyperbolic” case
- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay
- Evolution operators generated by non‐densely defined operators
This page was built for publication: Existence of periodic solutions in abstract semilinear equations and applications to biological models
