Spectral analysis of an operator associated with linear functional differential equations and its applications.
Stepanov-like almost automorphic solutions for nonautonomous evolution equations.
Almost-periodic mild solutions to a class of partial functional-differential equations.
A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations.
Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations.
Local models of the greatest characteristic exponent of differential equations depending on parameters
On a spectral criterion for almost periodicity of solutions of periodic evolution equations.
New spectral criteria for almost periodic solutions of evolution equations
We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form ẋ = A(t)x + f(t) (*), with f having precompact range, which is then applied to find new spectral criteria for the existence of almost periodic solutions with specific spectral properties in the resonant case where may intersect the spectrum of the monodromy operator P of (*) (here sp(f) denotes the Carleman spectrum of f). We show that if (*) has a bounded...
Integral manifolds of impulsive differential equations.
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