Results 141 to 150 of about 2,282,223 (170)

Pseudo-almost Periodic and Pseudo-almost Automorphic Solutions to Evolution Equations in Hilbert Spaces

Mediterranean Journal of Mathematics, 2015
The paper deals with the differential equation \[ \frac{du}{dt}(t)=Au(t)+Bu(t)+F(t,u(h(t))),\quad t\in\mathbb{R},\tag{1} \] where \(A\), \(B\) are densely defined closed linear operators on a Hilbert space \(\mathbb{H}\), and \(F\), \(h\) are appropriate functions which satisfy some assumptions.
Salah, Mounir Ben, Ezzinbi, Khalil, Rebey, Amor   +2 more
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Pseudo-Almost-Periodic Solutions to Some Semilinear Differential Equations

Mathematical and Computer Modelling, 2006
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Gaston N'Guerekata, Toka Diagana
exaly   +3 more sources

Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with -weighted pseudo-almost periodic coefficients

Nonlinear Analysis: Theory, Methods & Applications, 2010
In the paper under review the concept is introduced of weighted pseudo-almost periodicity in the sense of Stepanov and its properties are studied. An application is given of this concept to the study of the existence of weighted pseudo-almost periodic solutions to the class of perturbed hyperbolic differential equations \(u'(t)=Au(t)+f(t, Bu(t))\), \(t\
Diagana, Toka, Mophou, Gisèle M., N'guérékata, Gaston M.   +2 more
openaire   +1 more source

Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations

Differential Equations and Dynamical Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ezzinbi, Khalil, Toure, Hamidou, Zabsonre, Issa   +2 more
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On the Weighted Pseudo-Almost Periodic Solution for BAM Networks with Delays

Neural Processing Letters, 2017
In this paper, a class of Bidirectional Associative Memory neural networks with time-varying weights and continuously distributed delays is discussed. Sufficient conditions are obtained for the existence and uniqueness of weighted pseudo-almost periodic solution of the considered model and numerical examples are given to show the effectiveness of the ...
Boudour Ammar, Hajer Brahmi, Farouk Chérif   +2 more
openaire   +2 more sources

Pseudo periodicity and pseudo almost periodicity in shifts

International Journal of Dynamical Systems and Differential Equations, 2023
Lili Wang, Meng Hu
openaire   +1 more source

Pseudo almost periodic solutions of differential equations with piecewise constant arguments

Applicable Analysis, 1999
The authors consider linear and nonlinear differential equations with piecewise constant argument \[ \dot x(t)=ax(t)+bx([t])+f(t),\qquad \dot x(t)=ax(t)+bx([t])+F(t,x), \quad t\in \mathbb{R}. \] On the base of introducing a new concept of pseudo almost-periodic sequence the authors discuss the existence of a pseudo almost-periodic solution to these ...
Piao, Daxiong, Yuan, Rong
openaire   +2 more sources

Weighted pseudo-almost periodic delayed cellular neural networks

Neural Computing and Applications, 2017
This paper investigates a class of non-autonomous cellular neural networks with mixed delays. Based on the basic theory of the weighted pseudo-almost periodic functions, several sufficient conditions are established to ensure that every solution of the addressed model exponentially tends to a weighted pseudo-almost periodic solution as
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Pseudo Almost Periodic Solutions to a Class of Semilinear Differential Equations

Nonlinear Dynamics, 2005
Existence of a unique pseudo almost periodic solution to the abstract differential equation \[ u'(t) = Au(t) + Bu(t) + f(t,Cu(t)), \quad t\in \mathbb R \] is proved, where \(A,\;B\) are densely defined, closed linear operators on a Hilbert space \(H\), \(C\) is a bounded linear operator, and \(f: \mathbb R\times H \rightarrow H\) is a nonlinear ...
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Almost Periodic and Pseudo Almost Periodic Mild Solutions to a Partial Differential Equation VIA Fractional Operators

Numerical Functional Analysis and Optimization, 2011
This article is mainly concerned with the existence and uniqueness of almost periodic and pseudo almost periodic mild solutions to a class of partial differential equations in Banach spaces. Under some reasonable assumptions, the main results are proved in α-norm.
Yong-Kui Chang, Zhi-Han Zhao, Juan J. Nieto   +2 more
openaire   +1 more source