\(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain
DOI10.1016/j.na.2009.12.016zbMath1205.34074OpenAlexW2002901839MaRDI QIDQ847369
Bruno de Andrade, Claudio Cuevas
Publication date: 12 February 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.12.016
abstract Cauchy problemneutral differential equationintegro-differential equationHille-Yosida operatorasymptotically \(\omega\)-periodic function\(S\)-asymptotically \(\omega\)-periodic function
Periodic solutions to ordinary differential equations (34C25) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30)
Related Items (37)
Cites Work
- Almost automorphic solutions to a class of semilinear fractional differential equations
- Asymptotically periodic solution of \(N\)-species cooperation system with time delay
- Global stability and asymptotically periodic solution for nonautonomous cooperative Lotka-Volterra diffusion system
- Bohr--Neugebauer type theorem for some partial neutral functional differential equations
- Massera-type theorem and asymptotically periodic Logistic equations
- On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- Pseudo-almost periodic solutions for abstract partial functional differential equations
- \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
- Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
- Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain
- Compact almost automorphic solutions to integral equations with infinite delay
- Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence and regularity results for an integral equation with infinite delay in a Banach space
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Almost periodic differential equations
- Dichotomies in stability theory
- Existence results for partial neutral functional differential equations with unbounded delay
- Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
- Rotating waves in neutral partial functional differential equations
- Composition of pseudo almost-periodic functions and Cauchy problems with operator of nondense domain
- Introduction to functional differential equations
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- Nondensely defined evolution equations with nonlocal conditions.
- Fractional differential equations driven by Lévy noise
- Approximation of abstract functional differential equations with unbounded delay
- Existence results for a class of abstract nonlocal Cauchy problems
- Cauchy problem for evolution equations of a fractional order
- Extrapolation spaces and minimal regularity for evolution equations
- Linear differential equations and functional analysis. I
- Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
- Almost automorphic solutions to integral equations on the line
- Asymptotically Periodic Solutions of a Class of Second Order Nonlinear Differential Equations
- Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
- Convolution quadrature time discretization of fractional diffusion-wave equations
- EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS
- Exponential dichotomy and boundedness for retarded functional difference equations
- Forced Asymptotically Periodic Solutions of Predator-Prey Systems with or without Hereditary Effects
- Evolutionary Integral Equations and Applications
- A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Asymptotic Almost Periodicity of Solutions of a System of Differential Equations
- Asymptotically Almost Periodic Solutions of Differential Equations
- Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain