On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation.
Oscillations presque-périodiques forcées d'équations d'Euler-Lagrange
Partially irregular almost periodic solutions of ordinary differential systems
Let be a vector valued function almost periodic in uniformly for , and let be its frequency module. We say that an almost periodic solution of the system is irregular with respect to (or partially irregular) if . Suppose that where is an almost periodic -matrix and We consider the existence problem for almost periodic irregular with respect to solutions of such system. This problem is reduced to a similar problem for a system of smaller dimension, and sufficient conditions...
Periodic and almost periodic solutions for multi-valued differential equations in Banach spaces.
Periodic and aqlmost-periodic solutions of semihnear equations in Banach spaces.
Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response.
Problems without initial conditions for degenerate implicit evolution equations.
Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces
In this paper, for the impulsive fractional integro-differential equations involving Caputo fractional derivative in Banach space, we investigate the existence and uniqueness of a pseudo almost periodic -mild solution. The working tools are based on the fixed point theorems, the fractional powers of operators and fractional calculus. Some known results are improved and generalized. Finally, existence and uniqueness of a pseudo almost periodic -mild solution of a two-dimensional impulsive fractional...
Reducibility and point spectrum for linear quasi-periodic skew-products.
Seventy-five years of global analysis around the forced pendulum equation
Some problems concerning different types of vector valued almost periodic functions [Book]
Square-mean almost periodic solutions nonautonomous stochastic differential equations.
Stability of unique pseudo almost periodic solutions with measure
By means of the fixed-point methods and the properties of the -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the -pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where is a positive measure. A numerical example is given to illustrate our main results.
Theorems of Bohr-Neugebauer-type for almost-periodic differential equations
Uniform exponential stability of linear almost periodic systems in Banach spaces.
Weak almost periodic and optimal mild solutions of fractional evolution equations.
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Аналитическая нормальная форма линейных квазипериодических систем треугольного вида
Асимптотически почти периодические решения линейных систем дифференциальных уравнений с обобщенными возмущениями