Existence of -almost periodic solutions to a class of nonautonomous stochastic evolution equations.
Existence of square-mean almost periodic mild solutions to some nonautonomous stochastic second-order differential equations.
Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect
This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
New results on global exponential stability of almost periodic solutions for a delayed Nicholson blowflies model
This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.
On the existence of almost-periodic solutions of neutral functional-differential equations.
On the spectrum of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument.
Periodic and almost periodic solutions of functional difference equations with finite delay.
Positive almost periodic solutions for a class of nonlinear Duffing equations with a deviating argument.
Positive almost periodic solutions of non-autonomous delay competitive systems with weak allee effect.
Pseudo almost periodic solutions to some differential equations with infinite delay.
Pseudo almost-periodic solution of shunting inhibitory cellular neural networks with delay.
Some problems concerning different types of vector valued almost periodic functions [Book]
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.
Stepanov-like square-mean pseudo almost automorphic solutions to partial neutral stochastic functional differential equations
We obtain the existence and uniqueness of square-mean pseudo almost automorphic mild solutions to first-order partial neutral stochastic functional differential equations with Stepanov-like almost automorphic coefficients in a real separable Hilbert space.
Variational methods for almost periodic solutions of a class of neutral delay equations.
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Weighted pseudo almost periodic solutions for functional differential equations.
Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations.
О почти периодических решениях одной нестационарной системы с линейным запаздыванием.