In this work, we consider a class of neutral shunting inhibitory cellular neural networks with mixed delays. We study the existence, uniqueness, and exponential stability measure pseudo almost periodic (or μ-pseudo periodic) solutions from some models for An example is provided to illustrate theory developed in work.

In nature there is no phenomenon that purely periodic, and this gives the idea to consider measure pseudo almost periodic oscillation. paper, by employing a suitable fixed point theorem, properties of functions differential inequality, we investigate existence uniqueness solutions for some models Lasota–Wazewska equation with coefficients mixed delays. We suppose linear part has nonlinear assumed be periodic. Moreover, global attractivity exponential stability are also considered system. As...

In this research paper, we give some new results for the existence and uniqueness of doubly measure pseudo almost periodic (Or (μ,ν)-pap) solutions differential equations with reflection. We will use Banach fixed-point theorem properties functions measurements discuss both linear nonlinear cases. Finally, finish applications to illustrate our results.

UDC 517.9 We focus on the measures of Stepanov-like pseudoasymptotically Bloch <mml:math> <mml:mrow> <mml:mi>τ</mml:mi> </mml:mrow> </mml:math>-periodicity and its applications. First, we define a new notion periodic functions diccuss some fundamental properties. Then obtained results are applied to investigate existence uniqueness measure mild solutions semilinear delay differential equation in Banach spaces. Finally, an application is presented illustrate efficiency results.

Abstract To state the existence and uniqueness of pseudo almost periodic solutions for some difference differential equations with measure piecewise constant argument generalized type, we use completeness, composition theorems, Banach fixed point theorem. Finally, provide applications.

In this research work, we introduce a new concept of double measure ergodic processes to identify the spaceof pseudo almost periodic (or pap) in pth mean sense. We display some findings regarding completeness as well composition theorems and invariance space consisting pap processes. Motivated by above-mentioned results, Banach fixed point theorem stochastic analysis techniques, prove existence, uniqueness global exponential stability doubly mild solution for class Nicholson’s blowflies...

In this paper, a recurrent neural network with mixed delays which plays an important role is considered. We are concerned the existence, uniqueness and global exponential stability of doubly measure pseudo almost automorphic solutions. First, we establish results that interesting on functional space such functions like composition theorem. Second, by employing fixed-point theorem some properties functions, sufficient conditions for solutions have been established. Our obtained in paper new....

By developing new efficient techniques and using an appropriate fixed point theorem, we derive several sufficient conditions for the pseudo almost periodic solutions with double measure some system of differential equations delays. As application, consider certain models neural networks

AbstractIn this work, we prove some existence, global exponential stability and uniqueness results for measure pseudo almost periodic automorphic solutions to a class of high-order Hopfield neural networks with delays. The main technique is based upon appropriate composition theorems combined the Banach contraction mapping principle. Finally, three numerical examples are given illustrate effectiveness our results.Keywords: Pseudo solutionpseudo solutionmeasure theoryhigh-order networksglobal...

We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations reflection. use the properties functions Banach fixed point theorem, we discuss two linear nonlinear cases. conclude an example some observations.

The idea to consider the concept of measure pseudo almost periodic oscillation corresponds better physical reality since periodicity is utopic. So, in this research paper, we inform a notion mu-pseudo-almost using theoretical measure. Then study existence and uniqueness pseudo-almost solutions some first-order differential equations Lebesgue spaces with variable exponents.

In this paper, we present a new concept of measure-ergodic process to define the space measure pseudo almost periodic in p-th mean sense. We show some results regarding completness composition theorems and invariance consisting process. Motivated by above mentioned results, Banach fixed point theorem stochastic analysis techniques, prove existence, uniqueness global exponential stability doubly mild solution for class nonlinear delayed evolution equations driven Brownian motion separable...