Almost periodic solutions to second order neutral differential equations.
Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with.
Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Cauchy integral)
This paper generalizes earlier author's results where the linear and quasilinear equations with constant coefficients were treated. Here the method of limit passages and a fixed-point theorem is used for the linear and quasilinear equations with almost periodic coefficients.
Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)
This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations.
Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum.
Almost periodic weak solutions to forced pendulum type equations without friction.
Almost periodic weak solutions to forced pendulum type equations without friction. (Summary).
Almost-periodic processes and the existence of almost-periodic solutions.
Almost-periodic solutions in various metrics of higher-order differential equations with a nonlinear restoring term
Almost-periodic solutions in various metrics (Stepanov, Weyl, Besicovitch) of higher-order differential equations with a nonlinear Lipschitz-continuous restoring term are investigated. The main emphasis is focused on a Lipschitz constant which is the same as for uniformly almost-periodic solutions treated in [A1] and much better than those from our investigations for differential systems in [A2], [A3], [AB], [ABL], [AK]. The upper estimates of for -almost-periods of solutions and their derivatives...
Almost-periodicity in linear topological spaces and applications to abstract differential equations.
An almost-periodicity criterion for solutions of the oscillatory differential equation and its applications
The linear differential equation with the uniformly almost-periodic function is considered. Necessary and sufficient conditions which guarantee that all bounded (on ) solutions of are uniformly almost-periodic functions are presented. The conditions are stated by a phase of . Next, a class of equations of the type whose all non-trivial solutions are bounded and not uniformly almost-periodic is given. Finally, uniformly almost-periodic solutions of the non-homogeneous differential equations...
Asymptotic expansions of quasiperiodic solutions
Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations.
Asymptotically almost automorphic solutions of differential equations with piecewise constant argument
This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do not assume...
Asymptotically almost periodic and almost periodic solutions for a class of evolution equations.