Asymptotic periodicity and almost automorphy for a class of Volterra integro-differential equations

DOI10.1002/mma.1607zbMath1243.45015OpenAlexW1980027348MaRDI QIDQ2882714

Erwin Henriquez, Bruno de Andrade, Claudio Cuevas

Publication date: 7 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1607

zbMATH Keywords

Volterra integro-differential equationsasymptotically periodic solutionheat conduction in materials with memoryasymptotically almost automorphic solution

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (12)

Asymptotically periodic solutions of fractional differential equations ⋮ Asymptotic periodicity for flexible structural systems and applications ⋮ Stability and boundedness of stochastic Volterra integrodifferential equations with infinite delay ⋮ Weighted \(S^p\)-pseudo \(S\)-asymptotic periodicity and applications to Volterra integral equations ⋮ Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory ⋮ On evolutionary Volterra equations with state-dependent delay ⋮ Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions ⋮ Asymptotic periodicity for strongly damped wave equations ⋮ L^p-boundedness and topological structure of solutions for flexible structural systems ⋮ Almost automorphy profile of solutions for difference equations of Volterra type ⋮ Weighted pseudo asymptotically periodic mild solutions of evolution equations ⋮ Pseudo asymptotically periodic solutions for Volterra integro‐differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounded mild solutions for semilinear integro differential equations in Banach spaces
• Asymptotic periodicity for some evolution equations in Banach spaces
• Asymptotic periodicity for a class of partial integrodifferential equations
• On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
• Almost automorphic functions in Frechet spaces and applications to differential equations
• \(S\)-asymptotically \(\omega \)-periodic and asymptotically \(\omega \)-periodic solutions to semi-linear Cauchy problems with non-dense domain
• 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
• On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
• On some classes of almost automorphic functions and applications to fractional differential equations
• Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
• Pseudo-almost periodic solutions for abstract partial functional differential equations
• Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain
• On linear Volterra equations in Banach spaces
• Some considerations for linear integrodifferential equations
• Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• An integrodifferential equation for rigid heat conductors with memory
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Fractional differential equations driven by Lévy noise
• Nonlocal Cauchy problems for semilinear evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
• On compact solutions of operational-differential equations. I
• Cauchy problem for fractional diffusion equations
• Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays
• Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
• Existence results for a class of abstract nonlocal Cauchy problems
• Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
• Nonlinear nonlocal Cauchy problems in Banach spaces
• Almost automorphic solutions to integral equations on the line
• Asymptotically Periodic Solutions of a Class of Second Order Nonlinear Differential Equations
• Resolvent Operators for Integral Equations in a Banach Space
• Forced Asymptotically Periodic Solutions of Predator-Prey Systems with or without Hereditary Effects
• Control and Stabilization for the Wave Equation in a Bounded Domain
• Almost automorphic solutions of semilinear evolution equations
• On the existence of almost automorphic solutions of Volterra difference equations
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
• Almost Automorphic Functions on Groups
• Asymptotic Almost Periodicity of Solutions of a System of Differential Equations
• Asymptotically Almost Periodic Solutions of Differential Equations
• A NEW APPROACH TO ALMOST PERIODICITY
• Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain

This page was built for publication: Asymptotic periodicity and almost automorphy for a class of Volterra integro-differential equations