Results 231 to 240 of about 5,680,994 (262)

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 ...
Rong Yuan
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Pseudo Almost Periodic Solutions for Differential Equations Involving Reflection of the Argument [PDF]

Journal of the Korean Mathematical Society, 2004
Summary: We investigate the existence and uniqueness of almost-periodic and pseudo almost-periodic solution for nonlinear differential equations with reflection of argument. For the case of almost-periodic forced term , we consider the frequency modules of the solutions.
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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
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Pseudo Almost Periodic Solutions for Some Parabolic Evolution Equations With Stepanov-Like Pseudo Almost Periodic Forcing Terms

Journal of Mathematical Analysis and Applications, 2018
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Lahcen MANIAR, Kamal Khalil
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Pseudo Almost Periodic Solution of Nicholson’s Blowflies Model With Mixed Delays

Applied Mathematical Modelling, 2015
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Farouk Cherif
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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
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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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Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations

Differential Equations and Dynamical Systems, 2018
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Ezzinbi, Khalil, Toure, Hamidou, Zabsonre, Issa   +2 more
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Pseudo almost periodic solutions for some differential equations in a banach space

Nonlinear Analysis: Theory, Methods & Applications, 1997
Differential equations of the form \[ dx/dt =f\bigl(t,x(t) \bigr) \] are considered. A very important question in many practical situations connected with this type of equation is to know if there exists a mean value of a bounded solution \(x(t)\). By the mean value it is understood the limit \[ \lim_{T\to\infty} (1/2T) \int^T_{-T} x(t)dt \] if it ...
Ait, Dads E., Ezzinbi, K., Arino, O.
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Pseudo Almost Periodic Solutions of Impulsive Differential Equations with Delay

Differential Equations and Dynamical Systems, 2013
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