Articles

Infinitely many periodic solutions for discrete second order Hamiltonian systems with oscillating potential

In this article we obtain two sequence of infinitely many periodic solutions for discrete second order Hamiltonian systems with an oscillating potential. One sequence of solutions are local minimizers of the f...

Authors: Chengfu Che and Xiaoping Xue

Initial value problem for fractional evolution equations

This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means of ...

Authors: Hongxia Fan and Jia Mu

Fuzzy stability of a cubic functional equation via fixed point technique

The object of this article is to determine Hyers-Ulam-Rassias stability results concerning the cubic functional equation in fuzzy normed space by using the fixed point method.

Authors: Syed Abdul Mohiuddine and Abdullah Alotaibi

Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type

This article concerns the existence of mild solutions for the fractional integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X. The existence of mild solution...

Authors: Fang Li

Almost oscillatory three-dimensional dynamical system

In this article, we investigate oscillation and asymptotic properties for 3D systems of dynamic equations. We show the role of nonlinearities and we apply our results to the adjoint dynamic systems.

Authors: Elvan Akin-Bohner, Zuzana Došlá and Bonita Lawrence

Local bifurcation of limit cycles and center problem for a class of quintic nilpotent systems

For a class of fifth degree nilpotent system, the shortened expressions of the first eight quasi-Lyapunov constants are presented. It is shown that the origin is a center if and only if the first eight quasi-L...

Authors: Yusen Wu, Luju Liu and Feng Li

A note on Carlitz q-Bernoulli numbers and polynomials

In this article, we first aim to give simple proofs of known formulae for the generalized Carlitz q-Bernoulli polynomials β_m,χ(x, q) in the p-adic case by means of a method provided by Kim and then to derive a co...

Authors: Daeyeoul Kim and Min-Soo Kim

Periodic solutions of second-order differential equations with multiple delays

By using the critical point theory and S¹ index theory, we obtain a new result for the existence and multiplicity of periodic solutions for a class of second-order delay differential equations x" (t) = f (x(t))-[

Authors: Haibo Chen, Hongwu Tang and Juntao Sun

Fuzzy n-Jordan *-homomorphisms in induced fuzzy C*-algebras

Using fixed point method, we prove the fuzzy version of the Hyers-Ulam stability of n-Jordan *-homomorphisms in induced fuzzy C*-algebras associated with the following functional equation

Authors: Choonkil Park, Shahram Ghaffary Ghaleh, Khatereh Ghasemi and Sun Young Jang

Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

In this article, we established the existence and uniqueness of the solution for a generalized class of fractional order differential equations involving the Riemann-Liouville differential operator on unbounde...

Authors: Azizollah Babakhani

On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

We are concerned with the existence of mild solutions to the Cauchy problem for fractional evolution equations of neutral type with almost sectorial operators

Authors: Jin Liang, Sheng-Hua Yan, Fang Li and Ting-Wen Huang

On the stability of a cubic functional equation in random 2-normed spaces

In this article, we propose to determine some stability results for the functional equation of cubic in random 2-normed spaces which seems to be a quite new and interesting idea. Also, we define the notion of ...

Authors: Abdullah Alotaibi and Syed Abdul Mohiuddine

Some convergence results for iterative sequences of Prešić type and applications

In this article, we study the convergence of iterative sequences of Prešić type involving new general classes of operators in the setting of metric spaces. As application, we derive some convergence results fo...

Authors: Mohammad Saeed Khan, Maher Berzig and Bessem Samet

Isochronal function projective synchronization between chaotic and time-delayed chaotic systems

Isochronal function projective synchronization between chaotic and time-delayed chaotic systems with unknown parameters is investigated in this article. Based on Lyapunov stability theory, adaptive controllers...

Authors: Ranchao Wu and Junlian Liu

Hyers-ulam stability of exact second-order linear differential equations

In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differ...

Authors: Mohammad Bagher Ghaemi, Madjid Eshaghi Gordji, Badrkhan Alizadeh and Choonkil Park

A study of second-order q-difference equations with boundary conditions

This paper studies a boundary value problem of nonlinear second-order q-difference equations with non-separated boundary conditions. As a first step, the given boundary value problem is converted to an equivalent...

Authors: Bashir Ahmad, Ahmed Alsaedi and Sotiris K Ntouyas

Existence and stability of almost periodic solutions for impulsive differential equations

In this article, by using Schauder's fixed point theorem, we study the existence of almost periodic solutions for abstract impulsive differential equations. In addition, sufficient conditions for their asympto...

Authors: Junwei Liu and Chuanyi Zhang

Oscillation criteria of fractional differential equations

In this article, we are concerned with the oscillation of the fractional differential equation

Authors: Da-Xue Chen

Uniqueness and value distribution for difference operators of meromorphic function

We investigate the value distribution of difference operator for meromorphic functions. In addition, we study the sharing value problems related to a meromorphic function f (z) and its shift f (z + c).

Authors: Xiaoguang Qi, Jia Dou and Lianzhong Yang

C¹ regularity of the stable subspaces with a general nonuniform dichotomy

For nonautonomous linear difference equations, we establish C¹ regularity of the stable subspaces under sufficiently C¹-parameterized perturbations. We consider the general case of nonuniform dichotomies, which c...

Authors: Jie Wang

Lagged diffusivity method for the solution of nonlinear diffusion convection problems with finite differences

This article concerns with the analysis of an iterative procedure for the solution of a nonlinear nonstationary diffusion convection equation in a two-dimensional bounded domain supplemented by Dirichlet bound...

Authors: Emanuele Galligani

Population dynamics of plateau pika under lethal control and contraception control

The overabundance of plateau pika brings a great damage to the alpine meadow. Rodenticide and sterilant have been used to control this mammalian pest. In this article, we proposed models to incorporate these c...

Authors: Hanwu Liu, Zhen Jin, Yuming Chen and Fengqin Zhang

New sufficient conditions for the asymptotic stability of discrete time-delay systems

This paper is concerned with asymptotic stability of switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varyi...

Authors: P Sangapate

Defect indices of singular symmetric linear difference equations with complex coefficients

This article is concerned with the defect indices of singular symmetric linear difference equations of order 2n with complex coefficients and one singular endpoint. We first show that the positive and negative de...

Authors: Guojing Ren

A pexider difference for a pexider functional equation

We deal with a Pexider difference

Authors: Abbas Najati, Saeid Ostadbashi, Gwang Hui Kim and Sooran Mahmoudfakhe

Stably asymptotic average shadowing property and dominated splitting

Let f be a diffeomorphism of a closed n-dimensional C ^∞ manifold. In this article, we show that C¹-generically, if f has the C¹-stably asymptotic average shadowing property on a...

Authors: Manseob Lee

Local bifurcations of critical periods for quartic Lié nard equations with quintic damping

In this article, we study the local bifurcation of critical periods near a nonde-generate center of the quartic Lié nard equation with quintic damping and prove that at most two local critical periods can be prod...

Authors: Li Hongwei

The curl theorem of a triangular integral

As the foundation of double integral, we propose a triangular integral, which is an antisymmetric double integral by single limit of double dependent sums of triangularly divided areas. Extending integrand fro...

Authors: Kiyohisa Tokunaga

Orthogonal and diagonal dimension fluxes of hyperspherical function

In this paper, we present the theoretical research results of certain characteristics of the generalized hyperspherical function with two degrees of freedom as independent dimensions. Here, we primarily give t...

Authors: Dusko Letic, Nenad Cakic, Branko Davidovic and Ivana Berkovic

Some identities on the higher-order-twisted q-Euler numbers and polynomials with weight α

In this article, we introduce some properties of higher-order-twisted q-Euler numbers and polynomials with weight α, and we observe some properties of higher-order-twisted q-Euler numbers and polynomials with wei...

Authors: Hui Young Lee, Nam Soon Jung, Jung Yoog Kang and Cheon Seoung Ryoo

Local bifurcation of limit cycles and integrability of a class of nilpotent systems

In this article, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of seventh-degree systems are investigated. With the help of computer algebra system MATHEMATICA, t...

Authors: Hongwei Li, Yusen Wu and Yinlai Jin

Fibonacci sequences in groupoids

In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a q...

Authors: Jeong Soon Han, Hee Sik Kim and Joseph Neggers

Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results

This article is devoted to both the theoretical and numerical study of boundary-value problems for nonlinear fractional integro-differential equations. Positivity and uniqueness results for the problem are pro...

Authors: Qasem M Al-Mdallal

Stability of the Jensen equation in C*-algebras: a fixed point approach

Using fixed point method, we prove the Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for the Jensen equation.

Authors: Hassan Azadi Kenary, Hamid Rezaei, Saedeh Talebzadeh and Choonkil Park

On the stability of a mixed type functional equation in generalized functions

We reformulate the following mixed type quadratic and additive functional equation with n-independent variables

Authors: Young-Su Lee

Stability of neutral-type descriptor systems with multiple time-varying delays

This article deals with the problem of stability of descriptor neutral systems with multiple delays. Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion is obtaine...

Authors: Yuxia Zhao and Yuechao Ma

Discretisation of abstract linear evolution equations of parabolic type

We investigate the discretisation of the linear parabolic equation du/dt = A(t)u + f(t) in abstract spaces, making use of both the implicit and the explicit finite-difference schemes. The stability of the explici...

Authors: Fernando F Gonçalves, Maria do Rosário Grossinho and Eva Morais

Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales

Investigated here are interesting aspects of the positive solutions for two kinds of m-point boundary value problems for an increasing homeomorphism and positive homo-morphism on time scales. By using the Avery-P...

Authors: Liu Yang and Weiguo Zhang

Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales

By using the classical fixed point theorem for operators on cone, in this article, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsi...

Authors: Da-Bin Wang

Approximate ternary quadratic derivations on ternary Banach algebras and C*-ternary rings

In the current article, we use a fixed point alternative theorem to establish the Hyers-Ulam stability and also the superstability of a ternary quadratic derivation on ternary Banach algebras and C*-ternary rings...

Authors: Abasalt Bodaghi and Idham Arif Alias

Impulsive differential equations with nonlocal conditionsin general Banach spaces

This article is concerned with impulsive semilinear differential equations with nonlocal initial conditions in Banach spaces. The approach used is fixed point theorem combined with the technique of operator tr...

Authors: Lanping Zhu, Qixiang Dong and Gang Li

Dynamical analysis of a biological resource management model with impulsive releasing and harvesting

In this study, we consider a biological resource management predator-prey model with impulsive releasing and harvesting at different moments. First, we prove that all solutions of the investigated system are u...

Authors: Jianjun Jiao, Lansun Chen and Shaohong Cai

A shifted Legendre spectral method for fractional-order multi-point boundary value problems

In this article, a shifted Legendre tau method is introduced to get a direct solution technique for solving multi-order fractional differential equations (FDEs) with constant coefficients subject to multi-poin...

Authors: Ali H Bhrawy and Mohammed M Al-Shomrani

Extremal solutions for certain type of fractional differential equations with maxima

In this article, we employ the Tarski's fixed point theorem to establish the existence of extremal solutions for fractional differential equations with maxima.

Authors: Rabha W Ibrahim

Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations

In this article, by means of the normal family theory we estimate the growth order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and oth...

Authors: Qi Jianming, Li Yezhou and Yuan Wenjun

Biperiodicity in neutral-type delayed difference neural networks

In this article we employ Krasnoselskii's fixed point theorem to obtain new biperiodicity criteria for neutral-type difference neural networks with delays. It is shown that the neutral-type term can leads to b...

Authors: Zhenkun Huang and Youssef N Raffoul

Oscillation criteria for second-order nonlinear neutral difference equations of mixed type

Some oscillation criteria are established for the second order nonlinear neutral difference equations of mixed type.

Authors: Ethiraju Thandapani, Nagabhushanam Kavitha and Sandra Pinelas

Existence of positive solutions to discrete second-order boundary value problems with indefinite weight

Authors: Chenghua Gao, Guowei Dai and Ruyun Ma

On the boundedness of the solutions in nonlinear discrete Volterra difference equations

In this article, we investigate the boundedness property of the solutions of linear and nonlinear discrete Volterra equations in both convolution and non-convolution case. Strong interest in these kind of disc...

Authors: István Györi and Essam Awwad

Some results on difference polynomials sharing values

This article is devoted to studying uniqueness of difference polynomials sharing values. The results improve those given by Liu and Yang and Heittokangas et al.

Authors: Yong Liu, XiaoGuang Qi and Hongxun Yi