[PDF] Top 20 Almost periodic solutions for Abel equations
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Almost periodic solutions for Abel equations
... Using the Liapunov function method, the existence of almost periodic solutiona of a scalar differential equation is discussed The results for the scalar differential equation are then ap[r] ... See full document
9
On the Bohr transform of almost periodic solutions for some differential equations in abstract spaces
... The proof here is based on the so-called “resolvent regularization” of ultraweak solutions (cf. [9, page 149]). We need in fact a slight extension of [9, Theorem, page 149], which will apply to equations u ... See full document
14
New results on positive almost periodic solutions for first order neutral differential equations
... positive almost periodic solutions of ...positive almost periodic solutions of the following first-order neutral differential equations with time-varying delays and ... See full document
6
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 and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations
... differential equations has become an active area of in- vestigation due to their applications in fields such as mechanics, electrical engineering, medicine biology (see ...of almost periodic ... See full document
37
Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces
... For our purpose, we introduce the following definitions and results about almost periodic discrete processes which are given in 3, 17, 18 for the continuous case. For the discrete case we mention 11, 12. ... See full document
19
Pseudo almost periodic solutions for first order neutral differential equations
... be almost periodic on R if, for any ε > 0, there exists a real number l = l(ε) > 0 with the property that, for any interval with length l(ε), it is possible to find a number δ = δ(ε) in this interval ... See full document
10
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] ... See full document
152
Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay
... asymptotically almost periodic solution by stability under disturbances from hull for the nonlinear differential equation x t f t, x and the functional differential equation x t ft, x t in 7, Theorem ... See full document
15
Weighted pseudo almost periodic solutions to a class of semilinear integro differential equations in Banach spaces
... mild solutions for the semi- linear equations with infinite delay on a class of spaces which do not include Stepanov type functions as the forcing ...pseudo almost periodic solutions ... See full document
18
Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument
... get almost periodic w-solutions and solutions of ...the almost-periodic solution, and in Example 3.2, we obtain the almost-periodic ow-solution and ...the ... See full document
11
pth mean almost periodic solutions to neutral stochastic evolution equations with infinite delay and Poisson jumps
... for all t ∈ R, i.e., Λ is a contraction when (3.5) holds. It follows from the contraction prin- ciple that there exists a unique fixed point x(t) for Λ in AP(R; L p (Ω , K)) such that Λx = x, which implies that (1.1) ... See full document
17
Almost Automorphic Solutions of Difference Equations
... discrete almost automorphic functions sequences as a natural generalization of discrete almost periodic functions, and then we give some basic and related properties for our ...of almost ... See full document
15
S asymptotically T periodic solutions for delay fractional differential equations with almost sectorial operator
... We will now present a summary of this work. In Section , we recall some fundamen- tal properties of S-asymptotically T -periodic functions and preliminary facts. The exis- tence and uniqueness of S-asymptotically ... See full document
10
Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations
... asymptotic almost periodicity was introduced by Frechet ...asymptotically almost periodic if it is a sum of an almost periodic function p(n) and a function q(n) defined on J* = [a, ∞) ⊂ ... See full document
11
Almost periodic solutions of partial differential equations with delay
... differential equations (abbreviated, ARFDE) arise in many areas of applied mathematics, this type of equations has received much attention in recent years ...For equations on Hilbert spaces, we refer ... See full document
15
Ergodic type solutions of differential equations with piecewise constant arguments
... The theory of almost periodic functions was started between 1923 and 1925 by H. Bohr, and his work quickly attracted the interest of a number of researchers who made many important contributions to its ... See full document
11
Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations
... viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence,” Differential and Integral Equations, ...viscosity solutions of parabolic ... See full document
15
The almost periodic solutions of the weakly coupled pendulum equations
... is an invariant torus with the frequencies ω(η) for (1.7a)–(1.7b). Therefore, any solution of (1.7a)–(1.7b) starting from T (η) is a trivial breather for (1.7a)–(1.7b). Our goal is to show that the torus T (η) remains ... See full document
22
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 ... See full document
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