Bounded mild solutions of perturbed Volterra equations with infinite delay
DOI10.1016/j.na.2010.01.029zbMath1202.45010OpenAlexW2087349144MaRDI QIDQ965007
Carlos Lizama, Sebastián Calzadillas
Publication date: 21 April 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.2010.01.029
Banach spacemild solutionsalmost periodicalmost automorphicasymptotically almost automorphicVolterra equationscompact almost automorphicintegral resolvent
One-parameter semigroups and linear evolution equations (47D06) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Singular nonlinear integral equations (45G05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Almost automorphic functions in Frechet spaces and applications to differential equations
- Difference property for perturbations of vector-valued Levitan almost periodic functions and their analogs
- On multiplicative perturbation of integral resolvent families
- Asymptotic behavior of orbits of \(C_{0}\)-semigroups and solutions of linear and semilinear abstract differential equations
- Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
- On some classes of almost automorphic functions and applications to fractional differential equations
- Compact almost automorphic solutions to integral equations with infinite delay
- Existence and regularity results for an integral equation with infinite delay in a Banach space
- Nonlinearly perturbed Volterra equations
- Stability properties of Volterra integrodifferential equations
- Almost automorphic solutions for abstract functional differential equations.
- On perturbation of \(K\)-regularized resolvent families.
- Existence in the large for a semilinear integrodifferential equation with infinite delay
- Regularized solutions for abstract Volterra equations
- Almost automorphic mild solutions to fractional differential equations
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- Asymptotic behavior of \((a,k)\)-regularized resolvent families at zero
- Almost automorphic and almost periodic solutions which minimize functionals
- Perturbations of Volterra integral equations
- Evolutionary Integral Equations and Applications
- Topics in Almost Automorphy
- Almost automorphic solutions of semilinear evolution equations
- On heat conduction in materials with memory
- Almost automorphic solutions of second order evolution equations
- A NEW APPROACH TO ALMOST PERIODICITY
- On approximation and representation of \(k\)-regularized resolvent families
This page was built for publication: Bounded mild solutions of perturbed Volterra equations with infinite delay