Almost periodic
Almost periodic and asymptotically almost periodic functions: part I
... of periodic func- tions, are not periodic, they are not without properties: they are almost periodic ...a periodic exterior ...a periodic oscillation, then the period of this ...
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Almost Periodic Oscillation in a Watt-type Predator-prey Model with Diffusion and Time Delays
... Abstract—In this paper, we consider a Watt-type predator- prey model with diffusion and time delays. Firstly, by means of Mawhin’s continuation theorem of coincidence degree theory, some new sufficient conditions are ...
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The almost periodic solutions of the weakly coupled pendulum equations
... (iii) For the case that both tangent frequencies ω and normal frequencies are infinite dimensional, according to our knowledge, not only of elliptic type but also of hyperbolic type, there has not been any KAM theorem to ...
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Dynamics of Almost Periodic Mutualism Model with Time Delays
... The paper is organized as follows. In Section 2, we give some basic definitions and necessary lemmas which will be used in later sections. In Section 3, we obtain some new sufficient conditions for the existence of at ...
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On the existence of asymptotically almost periodic solutions for nonlinear systems
... years, almost periodic solutions and their various generalizations have attracted the attention of many researchers (see [–] and the references ...asymptotically almost periodic solution ...
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Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales
... is almost the same as each other under ...like almost- periodic functions, almost-automorphic functions, and so on, because such functions are defined by their translations on the domain and ...
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Exponential Dichotomy and Eberlein Weak Almost Periodic Solutions
... whenever the iterated limits exist. Assuming that the it- erated limits exist and by the fact that we only have to prove the equality of them, we may pass to subsequences for the verification. Since g is Eberlein weakly ...
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On some classes of almost periodic functions in abstract spaces
... eralizations of the concept of almost periodic functions in the sense of Bohr. This gen- eralization relies on the requirement that a given function as well as its derivatives up to the nth order ...
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Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces
... be almost periodic in n uniformly for φ ∈ B, if for any > 0 and every compact Σ ⊂ B, there exists a positive integer l l, Σ such that any interval of length l ...
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Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations
... is almost periodic and thus, for all ε > 0 there is lε/2 such that any interval of length lε/2 contains an ε/2 almost period of ...ε/2 almost period of F in this ...
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Characterizations of vector valued weakly almost periodic functions
... Recently, some authors have investigated ᐃᏭᏼ (S, ᐄ ) and exploited its ap- plications in many areas [1, 2, 4, 5, 6, 7, 8, 9]. However, some questions remain unsolved. For example, [2, Theorems 4.2.3 and 4.2.6] give a ...
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Vector valued means and weakly almost periodic functions
... As applications of the theory of vector-vMued means, .how that the definitions of mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is ad[r] ...
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Positive asymptotically almost periodic solutions for hematopoiesis model
... In all cases, by (H), T is a contraction. Thus, T has a unique fixed point in , i.e., equation (.) has a unique asymptotically almost periodic solution in . Remark . Compared with most earlier results ...
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Almost periodic solutions of partial differential equations with delay
... Combining this result with the stabilizability criteria established in [–], we can present some results for the existence of almost periodic solutions of equation (.) in terms of the controllability ...
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Asymptotically Almost Periodic Solutions of Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... asymptotically almost periodicity of functions it was introduced and studied in the works of Fr´echet [1, ...totically almost periodic sequences in the works of Fan [3] and Precupanu [4] and for ...
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Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
... then there is a countable set of real numbers Λ such that a(f, l , x) ≡ 0 on S if l ∉ Λ . Proof. Since f(t, x) is uniformly almost periodic, then for all ( t, x ) ∈ T × S, there exists M > 0 such that ...
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Composition Theorems of Stepanov Almost Periodic Functions and Stepanov Like Pseudo Almost Periodic Functions
... of almost periodic functions, Stepanov almost periodic functions, pseudo-almost periodic functions, and Stepanov-like pseudo-almost periodic functions for more ...
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Almost periodic and quasi-periodic solutions of differential equations
... • iii CONTENTS STATEMENT i ACKNOWLEDGEMENTS ii CHAPTER I: Introduction l CHAPTER II: The frequency basis of almost periodic solutions of almost periodic differential equations 8 CHAPTER [r] ...
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Almost Periodic Functions on Topological Groups
... that almost periodic functions on G are exactly those that can be lifted to a continuous function on b(G) (Theorem ...‘almost periodic compactification’ of G ...
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Almost periodic functions on Hausdorff almost periodic time scales
... of almost periodic time scales by using the distance between two time scales and established the correspond- ing almost periodic functions on these time ...of almost periodic ...
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