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[PDF] Top 20 Almost Automorphic Solutions of Difference Equations

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Almost Automorphic Solutions of Difference Equations

Almost Automorphic Solutions of Difference Equations

... the solutions of difference equations is their ...difference equations and systems have been treated, among others, by Agarwal and Popenda 1 , Corduneanu 2 , Halanay 3 , Pang and Agarwal 4 , Sugiyama 5 ... See full document

15

EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

... pseudo almost automorphic, g : R × X → X is weighted Stepanov-like pseudo almost automorphic for p > 1 and B, C are bounded linear ...pseudo almost automorphic mild ... See full document

14

Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces

Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces

... of almost periodic solutions for functional difference equations is considered in the first case for the discrete Volterra equation and in the second reference for the functional difference ... See full document

19

Asymptotically almost periodic mild solutions to a class of Weyl like fractional difference equations

Asymptotically almost periodic mild solutions to a class of Weyl like fractional difference equations

... differential equations have gained significant importance and there has been a great interest in developing the theory and applications of fractional differential ...ence equations of fractional order have ... See full document

33

Existence of Stepanov-like Square-mean Pseudo Almost Automorphic Solutions to Nonautonomous Stochastic Functional Evolution Equations

Existence of Stepanov-like Square-mean Pseudo Almost Automorphic Solutions to Nonautonomous Stochastic Functional Evolution Equations

... pseudo almost automorphic ...pseudo almost automorphic solutions for the problem ...pseudo almost automorphic solutions for the model arising in physical ... See full document

12

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay

... 2.1. Almost periodic sequences. We review definitions of (uniformly) almost periodic and asymptotically almost periodic sequences, which have been discussed by several au- thors (see, ...For ... See full document

15

Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations

Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations

... Stepanov-like almost automorphic for stochastic processes and applications to stochastic differential equations, Nonlinear ...square-mean almost automorphic functions and applications ... See full document

10

Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations

Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations

... the difference equations and functional difference equations, the existence of almost periodic solutions of almost periodic systems has been studied by many ...pseudo ... See full document

11

Solutions of complex difference and q difference equations

Solutions of complex difference and q difference equations

... meromorphic solutions of systems of complex difference equation ...entire solutions of systems of complex difference equation ...meromorphic solutions of systems of complex difference equation ...of ... See full document

22

Classification of solutions of delay difference equations

Classification of solutions of delay difference equations

... & ZHANG, B.G., Oscillation of difference equations with delay, Proceeding of thee Internationa; onference on Theory and Applications of Differential Equations, Ohio University 1988, 257-[r] ... See full document

5

Asymptotically polynomial solutions of difference equations

Asymptotically polynomial solutions of difference equations

... polynomial solutions appear in the theory of both differential and differ- ence ...second-order equations, the so-called asymp- totically linear solutions, ...polynomial solutions of degree at ... See full document

16

Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations

Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations

... difference equations during the life of Ric- cati and that nobody has seen a paper written by him on the ...difference equations motivated me to conduct a con- siderable, but, of course, not thorough, ... See full document

21

On the Solutions of Systems of Difference Equations

On the Solutions of Systems of Difference Equations

... Difference equations appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so ... See full document

9

Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇ dynamic equations on time scales

Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇ dynamic equations on time scales

... most automorphic functions on time scales has not been introduced in any literature until now, so there was no work on discussing weighted piecewise pseudo almost automorphic problems of impulsive ... See full document

29

Weighted Stepanov like pseudo almost automorphic mild solutions for semilinear fractional differential equations

Weighted Stepanov like pseudo almost automorphic mild solutions for semilinear fractional differential equations

... differential equations have gained considerable interest due to their applications in various fields of science such as physics, mechanics, chemistry engineering ...tial equations involving fractional ... See full document

36

Almost Automorphic Solutions to Abstract Fractional Differential Equations

Almost Automorphic Solutions to Abstract Fractional Differential Equations

... Remark 2.9. In the above example, for any ε > 0, ft, u is Lipschitz continuous about u uniformly in t with Lipschitz constant L ≡ 1, this means that ft, u has a better Lipschitz continuity than 2.30. However, one ... See full document

9

Existence of Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations

Existence of Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations

... where At for t ∈ R is a family of linear operators satisfying Acquistpace-Terreni conditions and F, G are pseudo-almost automorphic functions. For that, we make use of exponential dichotomy tools as well as ... See full document

23

Almost Automorphic and Pseudo Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain

Almost Automorphic and Pseudo Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain

... We recall some basic properties of extrapolation spaces for Hille-Yosida operators which are a natural tool in our setting. The abstract extrapolation spaces have been used from various purposes, for example, to study ... See full document

8

Existence and exponential stability of pseudo almost automorphic solutions for Cohen Grossberg neural networks with mixed delays

Existence and exponential stability of pseudo almost automorphic solutions for Cohen Grossberg neural networks with mixed delays

... pseudo almost automorphy was first introduced by Xiao et ...of almost periodicity and almost ...pseudo almost automorphic functions are more general and complicated than pseudo al- most ... See full document

17

Almost automorphic solutions of some differential  equations in Banach spaces

Almost automorphic solutions of some differential equations in Banach spaces

... bounded solutions of the evolution equation x (t) = Ax(t) + f (t) in a Banach space are almost automorphic whenever f (t) is almost automorphic and A generates a C 0 -group of strongly ... See full document

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