Bounded solutions to some classes of nonautonomous higher-order differential equations
DOI10.1007/s13370-011-0036-8zbMath1266.43005OpenAlexW1987743681MaRDI QIDQ1944280
Publication date: 5 April 2013
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-011-0036-8
bounded solutionalmost periodicityhigher order differential equationsalmost automorphicitypseudo-almost automorphicity
One-parameter semigroups and linear evolution equations (47D06) Classical almost periodic functions, mean periodic functions (42A75) Linear boundary value problems for ordinary differential equations (34B05) Abstract hyperbolic equations (35L90) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)
Cites Work
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- Evolution operators and strong solutions of abstract linear parabolic equations
- Asymptotic and pseudo almost periodicity of the convolution operator and applications to differential and integral equations
- \(L^{p}\)-maximal regularity for nonautonomous evolution equations
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
- Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Existence of pseudo-almost automorphic solutions to some abstract differential equations with \(\mathbf S^p\)-pseudo-almost automorphic coefficients
- Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
- Existence, uniqueness and attractiveness of a pseudo almost automorphic solutions for some dissipative differential equations in Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- A unified approach to abstract linear nonautonomous parabolic equations
- Complete second order linear differential equations with almost periodic solutions
- The Cauchy problem for higher-order abstract differential equations
- Existence of bounded solutions to a second-order system with dissipation
- Almost periodic solutions of first- and second-order Cauchy problems
- Existence, stability and smoothness of a bounded solution for nonlinear time-varying thermoelastic plate equations
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- Pseudo almost automorphic solutions for dissipative differential equations in Banach spaces
- On a class of interpolation spaces
- Second order linear differential equations with almost periodic solutions
- Existence of two almost periodic solutions of pendulum-type equations
- Evolutionary Integral Equations and Applications
- Sufficient conditions for exponential stability and dichotomy of evolution equations
- Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces
- Analytic semigroups and optimal regularity in parabolic problems
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