Almost Automorphic
Almost Automorphic and Pseudo Almost Automorphic Solutions to Semilinear Evolution Equations with Nondense Domain
... of almost automorphic functions has been developed extensively see, ...pseudo-almost automorphic functions is very new ...pseudo- almost automorphic ...pseudo-almost ...
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Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations
... asymptotically almost automorphic mild solutions to a class of non-autonomous stochastic differential equations in a real separable Hilbert ...asymptotically almost automorphic mild solutions ...
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Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
... local almost automorphic func- tions and investigate their relative ...pseudo almost automorphic function and deduce some important relative properties on time ...pseudo almost ...
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Weighted Stepanov like pseudo almost automorphic mild solutions for semilinear fractional differential equations
... We note that conditions of type () have been previously considered in the literature for almost automorphic functions []. Our motivation comes from their use in the study of pseudo-almost ...
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Compact almost automorphic solutions for some nonlinear integral equations with time dependent and state dependent delay
... continuous almost automorphic ...compact almost automorphy (see Lemma ...of almost periodic and pseudo almost periodic solutions of the integral equation given ...
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Square mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space
... The rest of this article is organized as follows. In section 2, we recall and prove some basic definitions, lemmas, and preliminary facts which will be used throughout this article. We also prove some additional ...
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Translation invariance and related properties of μ pseudo almost automorphic (periodic) functions with application
... We note that, for the case of weighted pseudo almost automorphic (periodic) functions (abbr. wpaa (wpap) functions), there were several important results on the topic of this paper. The completeness of wpaa ...
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Existence of Stepanov-like Square-mean Pseudo Almost Automorphic Solutions to Nonautonomous Stochastic Functional Evolution Equations
... most automorphic functions and Stepanov-like square-mean pseudo almost automorphic functions for stochastic ...pseudo almost auto- morphic mild solutions to a class of nonautonomous stochastic ...
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Pseudo almost automorphic solutions of quaternion valued neural networks with infinitely distributed delays via a non decomposing method
... pseudo almost automorphic solutions of system (1) is discussed based on the contraction mapping ...pseudo almost automorphic solutions is studied based on proof by contradic- ...
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Existence and exponential stability of pseudo almost automorphic solutions for Cohen Grossberg neural networks with mixed delays
... Remark . The function g in Definition . is measurable but not necessarily continu- ous. Moreover, if g is continuous, then f is uniformly continuous. Besides, if the conver- gence in Definition . is uniform in t ∈ R, ...
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Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇ dynamic equations on time scales
... pseudo almost automorphic mild solutions to abstract impulsive ∇ -dynamic equations on time ...pseudo almost automorphic mild solutions is also ...
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Stepanov like pseudo almost automorphic solution to a parabolic evolution equation
... of almost automorphy, its applications have at- tracted a great deal of attention of many mathematicians due to their significance and applications in physics, mathematical biology, control theory, and so ...
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Existence of Pseudo Almost Automorphic Solutions for the Heat Equation with -Pseudo Almost Automorphic Coefficients
... pseudo almost periodic and almost automorphic solutions to the partial hyperbolic differential equations of the form ...pseudo almost automorphic solutions to the heat equation ...
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Almost Automorphic Solutions of Difference Equations
... discrete almost automorphic functions sequences defined on the set of integers with values in a Banach space ...discrete almost automorphic function fn, we give criteria for the existence of ...
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Almost Automorphic Solutions to Abstract Fractional Differential Equations
... where 1 < α < 2, A : DA ⊂ X → X is a sectorial operator of type ω in a Banach space X, and f : R × X → X is Stepanov-like almost automorphic in t ∈ R satisfying some kind of Lipschitz conditions in x ...
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Almost automorphic solutions of some differential equations in Banach spaces
... are almost automorphic whenever f (t) is almost automorphic and A generates a C 0 -group of strongly continuous ...asymptotically almost automorphic solutions for the more ...
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Existence of Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations
... where At for t ∈ R is a family of closed linear operators with domains DAt satisfying Acquistapace-Terreni conditions, and the function f : R × X → X is almost automorphic in t ∈ R uniformly in the second ...
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EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES
... pseudo almost automorphic solutions for non-autonomous neutral partial evolution equa- tions by applying the theory of semigroups of operators to evolution ...
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Several kinds of oscillations in forced Liénard equations
... pseudo almost periodic (respectively pseudo almost auto- morphic) functions is a special case of the weighted pseudo almost periodic (respectively weighted pseudo almost automorphic) ...
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ASYMPTOTIC ALMOST AUTOMORPHY OF FUNCTIONS AND DISTRIBUTIONS
... explicitly almost automorphic functions, where some basic properties have been ...of almost automorphic functions in [2]. Almost automorphy of primitives and asymptotically ...
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