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  1. Content type: Research

    This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity. Firstly, we transfer the stoc...

    Authors: Haijuan Su, Shengfan Zhou and Luyao Wu

    Citation: Advances in Difference Equations 2019 2019:45

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  2. Content type: Research

    In this paper, we study a stage-structured predator–prey model incorporating refuge for prey and additional food for predator. By analyzing the corresponding characteristic equations, we investigate the local ...

    Authors: Yuzhen Bai and Yunyun Li

    Citation: Advances in Difference Equations 2019 2019:42

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  3. Content type: Research

    In a recent paper several periodic systems of difference equations have been presented. We show in an elegant way that all the results therein follow from some known ones. We also show how some extensions of t...

    Authors: Stevo Stević, Bratislav Iričanin, Witold Kosmala and Zdeněk Šmarda

    Citation: Advances in Difference Equations 2019 2019:39

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  4. Content type: Research

    We study an epidemic model with nonlinear incidence rate, describing the saturated mass action and the psychological effect of certain serious diseases on the community. Firstly, the existence and local stabil...

    Authors: Ruixia Yuan, Zhidong Teng and Jinhui Li

    Citation: Advances in Difference Equations 2019 2019:37

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  5. Content type: Research

    In this paper, we study the nonlocal boundary value problem for a nonlinear fractional differential coupled system with fractional order impulses. Applying Nonlinear Alternative of Leray–Schauder, we obtain so...

    Authors: Kaihong Zhao and Hui Huang

    Citation: Advances in Difference Equations 2019 2019:36

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  6. Content type: Research

    It is well known that the drug treatment is always combined with the injection of immune factors. In this paper, a virus infection model with state-dependent impulsive control is considered. Firstly, by derivi...

    Authors: Huilan Wang, Binxiang Dai and Qizhen Xiao

    Citation: Advances in Difference Equations 2019 2019:35

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  7. Content type: Research

    This article represents a numerical analysis for a stochastic dengue epidemic model with incubation period of virus. We discuss the comparison of solutions between the stochastic dengue model and a determinist...

    Authors: Ali Raza, Muhammad Shoaib Arif and Muhammad Rafiq

    Citation: Advances in Difference Equations 2019 2019:32

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  8. Content type: Research

    In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of http://static-content.springer.com/image/art%3A10.1186%2Fs13662-019-1977-8/13662_2019_1977_Article_IEq1.gif ...

    Authors: Qiang Cheng, Cheng Zhang, Danda Zhang and Da-jun Zhang

    Citation: Advances in Difference Equations 2019 2019:30

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  9. Content type: Research

    The dynamical behavior of the predator–prey system is influenced effectively due to the mutual interaction of parasites. Regulations are imposed on biodiversity due to such type of interaction. With implementa...

    Authors: Waqas Ishaque, Qamar Din, Muhammad Taj and Muhammad Asad Iqbal

    Citation: Advances in Difference Equations 2019 2019:28

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  10. Content type: Research

    In this paper, we consider the extended central factorial polynomials and numbers of the second kind, and investigate some properties and identities for these polynomials and numbers. In addition, we give some...

    Authors: Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Jongkyum Kwon

    Citation: Advances in Difference Equations 2019 2019:24

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  11. Content type: Research

    In this paper, we investigate second order evolution differential equation in the frame of sequential conformable derivatives with nonlocal condition. First, we establish Duhamel’s formula in terms of a standa...

    Authors: Mohamed Bouaouid, Khalid Hilal and Said Melliani

    Citation: Advances in Difference Equations 2019 2019:21

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  12. Content type: Research

    We deal with three important aspects of a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator: the existence of a solution, the uniqueness and the Hyers–Ul...

    Authors: Hasib Khan, Aziz Khan, Thabet Abdeljawad and Abdulwasea Alkhazzan

    Citation: Advances in Difference Equations 2019 2019:18

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  13. Content type: Research

    The class of quasi-convex functions contain all those finite convex functions which are defined on finite closed intervals of real line. The aim of this paper is to establish the bounds of the sum of left and ...

    Authors: S. Ullah, G. Farid, K. A. Khan, A. Waheed and S. Mehmood

    Citation: Advances in Difference Equations 2019 2019:15

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  14. Content type: Research

    In this paper, we study a periodic model of hematopoiesis with a time-varying delay. Some new criteria are established to ensure that there are at least two positive periodic solutions by applying Krasnoselski...

    Authors: Lian Duan, Shimin Chen, Hang Xiao and Xianwen Fang

    Citation: Advances in Difference Equations 2019 2019:14

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  15. Content type: Research

    Rossby waves, one of significant waves in the solitary wave, have important theoretical meaning in the atmosphere and ocean. However, the previous studies on Rossby waves commonly were carried out in the zonal...

    Authors: Yanwei Ren, Mengshuang Tao, Huanhe Dong and Hongwei Yang

    Citation: Advances in Difference Equations 2019 2019:13

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  16. Content type: Research

    This paper investigates a class of nonlinear dynamic integral inequalities with mixed nonlinearities in two independent variables. The obtained results can be utilized to study the boundedness of partial dynam...

    Authors: Min Fan, Yazhou Tian and Fanwei Meng

    Citation: Advances in Difference Equations 2019 2019:12

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  17. Content type: Research

    In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential equation...

    Authors: Asma, Arshad Ali, Kamal Shah and Fahd Jarad

    Citation: Advances in Difference Equations 2019 2019:7

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  18. Content type: Research

    In this paper, we offer an approach about the dissipativity of neutral-type memristive neural networks (MNNs) with leakage, additive time, and distributed delays. By applying a suitable Lyapunov–Krasovskii fun...

    Authors: Cuiping Yang, Zuoliang Xiong and Tianqing Yang

    Citation: Advances in Difference Equations 2019 2019:6

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  19. Content type: Research

    In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differentia...

    Authors: A. Ali, K. Shah and D. Baleanu

    Citation: Advances in Difference Equations 2019 2019:5

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  20. Content type: Research

    We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical poi...

    Authors: Peiguang Wang, Dhaou Lassoued, Syed Abbas, Akbar Zada and Tongxing Li

    Citation: Advances in Difference Equations 2019 2019:4

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  21. Content type: Research

    In this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the ...

    Authors: Zhenzhen Shi, Jianmei Wang, Qingjian Li and Huidong Cheng

    Citation: Advances in Difference Equations 2019 2019:2

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  22. Content type: Research

    In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type sine-Gordon...

    Authors: Yanjie Zhou and Zhendong Luo

    Citation: Advances in Difference Equations 2019 2019:1

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  23. Content type: Research

    In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space. This method illustrates the ...

    Authors: Ghaleb N. Gumah, Mohammad F. M. Naser, Mohammed Al-Smadi and Shrideh K. Al-Omari

    Citation: Advances in Difference Equations 2018 2018:475

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  24. Content type: Research

    In this paper, studies on the synchronization of fractional-order Takagi–Sugeno (T-S) fuzzy neural networks are performed. By employing a linear matrix inequality and constructing a skillful Lyapunov function,...

    Authors: Bei Zhang, Jinsen Zhuang, Haidong Liu, Jinde Cao and Yonghui Xia

    Citation: Advances in Difference Equations 2018 2018:473

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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