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Strong approximation of almost periodic functions
Almost periodic functions Rate of strong approxima-tion Summability of Fourier series
2012/4/16
We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of almost periodic func...
Pointwise strong approximation of almost periodic functions
Almost periodic functions Rate of strong approximation Summability of Fourier series
2012/4/16
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
Existence of Periodic Solution on a Class of Discrete Difference System
Discrete systems periodic solution trigonometrical series contraction mapping principle
2011/10/14
Using trigonometrical series theory and contraction mapping principle, This paper study two Discrete difference systems, sufficient and necessary conditions on the existence of periodic solutions for ...
Periodic solutions for Duffing type p-Laplacian equations
Periodic solutions Duffing type p-Laplacian equations Manasevich-Mawhin continuation theorem
2011/10/13
In this paper, we study periodic solutions for a class of Duffing type p-Laplacian equations. By using the Manasevich-Mawhin continuation theorem, some new results on the existence of periodic solutio...
Existence of S-asymptotically ω-periodic solutions for abstract fractionalintegro-differential equations with infinite delay
S-asymptotically ω-periodic mild solutions Fractional integral-differential equation Solution operator Fixed point theorems
2011/10/11
In this paper, existence of S-asymptotically ω-periodic mild solutions for abstract integro-differential equationwith fractional order is considered. The main results are obtained bythe contraction ma...
Weighted pseudo almost periodic solutions of a fractional neutral functional differential equation
Weighted pseudo almost periodic solutions fractional neutral functional differential equations Existence Banach contraction mapping theorem
2011/10/11
In this paper, by applying the properties of weighted pseudoalmost periodic functions and Banach contraction mapping theorem, a set of sufficient conditions for the existence of weighted pseudo almost...
Existence of subharmonic periodic solutions to a class of second-ordernonlinear non-autonomous mixed-type functional differentialequations
variational structure critical points operator equations subdifferentiability subharmonic periodic solutions second-order mixed-type nonlinearfunctional differential equations
2011/10/11
In this paper, by introducingsubdifferentiability of lower semicontinuous convex functions and the conjugate functions, as well as critical point theory and operator equations theory, we obtain multip...
The existence of S-asymptotically omega-periodic solutions for a class of semilinear fractionaldifferential equations
S-asymptoticallyω-periodic function Fractional differential equations Analyticsemigroup Solutions operator
2011/10/11
This paper deals with the existence of S-asymptotically ω-periodic solutions to a class of fractional partial differentialequations. A series of analytical results about S-asymptotically ω-periodic so...
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k 1 (mod p) and p−3 X k=0 EkEp−3−k (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...
Positive periodic solutions of singular systems of first order ordinary differential equations
Periodic solutions singular system Krasnoselskii fixed point
2010/12/10
The existence and multiplicity of positive periodic solutions for first non-autonomous singular systems are established with superlinearity or sublinearity assumptions atinfinity for an appropriately ...
Well-Posedness and Stability of the Periodic Nonlinear Waves Interactions for the Nenney System
Benney system Well-Posedness Stability of periodic traveling waves
2010/11/30
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems
Lyapunov inequalities periodic boundary value problems resonance
2010/12/7
This paper is devoted to the study of Lyapunov type inequalities for periodic conservative systems. The main results are derived from a previous analysis which relates the best Lyapunov constants to s...
The periodic Cauchy problem for Novikov's equation
periodic Cauchy problem Novikov's equation
2010/12/3
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. We show the local well-posedness of the problem in Sobolev spaces and existence and ...
Exact solutions of the modified Gross-Pitaevskii equation in `smart' periodic potentials in the presence of external source
exact solutions modified Gross-Pitaevskii equation
2010/4/6
We report wide class of exact solutions of the modified Gross-Pitaevskii equation (GPE) in `smart' Jacobi elliptic potentials: $V(\xi)=-V_{0}{\rm sn(\xi,m)}$, $V(\xi)=-V_{0}{\rm cn(\xi,m)}$, and $V(\x...
期刊信息
篇名
Composition of pseudo almost-periodic functions and semilinear differential equations
语种
英文
撰写或编译
作者
Hongxu Li,Falun Huang,Jiyong Li
第一作者单位
刊物名称
Journal of Mathematical Analysis and Applicatio...