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  1. In the paper, we consider distribution of eigenvalues of a third-order differential operator with nonlocal boundary conditions on a segment. The characteristic operator of the considered spectral problem is an...

    Authors: Nurlan S Imanbaev, Baltabek E Kanguzhin and Burkhan T Kalimbetov

    Citation: Advances in Difference Equations 2013 2013:110

    Content type: Research

    Published on:

  2. In the work, the Cauchy problem is considered for a singularly perturbed system with zero points of the spectrum. It is proved normal solvability of general iterative problems. Unique solvability and convergen...

    Authors: Burkhan Kalimbetov, Lesbek Tashimov, Nurlan Imanbaev and Dinmukhambet Sapakov

    Citation: Advances in Difference Equations 2013 2013:109

    Content type: Research

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  3. The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q

    Authors: Nazim I Mahmudov

    Citation: Advances in Difference Equations 2013 2013:108

    Content type: Research

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  4. We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic ...

    Authors: Hemant Kumar Nashine, RP Pathak, Piyusha S Somvanshi, Slavisa Pantelic and Poom Kumam

    Citation: Advances in Difference Equations 2013 2013:106

    Content type: Research

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  5. In (Kim and Kim in J. Inequal. Appl. 2013:111, 2013; Kim and Kim in Integral Transforms Spec. Funct., 2013, doi:10.1080/10652469.2012.754756), we have investigated some properties of higher-order Bernoulli and...

    Authors: Dae San Kim, Taekyun Kim, Dmitry V Dolgy and Seog-Hoon Rim

    Citation: Advances in Difference Equations 2013 2013:103

    Content type: Review

    Published on:

  6. The universal real constant pi, the ratio of the circumference of any circle and its diameter, has no exact numerical representation in a finite number of digits in any number/radix system. It has conjured up ...

    Authors: Ravi P Agarwal, Hans Agarwal and Syamal K Sen

    Citation: Advances in Difference Equations 2013 2013:100

    Content type: Research

    Published on:

  7. In this paper, we rigorously prove the existence of chaos in a class of delay difference equations, which can be viewed as a discrete analogue of a one-dimensional delay differential equation by using the Eule...

    Authors: Zongcheng Li, Qingli Zhao and Di Liang

    Citation: Advances in Difference Equations 2013 2013:99

    Content type: Research

    Published on:

  8. In this paper, we investigate the value distribution of difference polynomial and obtain the following result, which improves a recent result of K. Liu and L.Z. Yang: Let f be a transcendental meromorphic functio...

    Authors: Nan Li and Lianzhong Yang

    Citation: Advances in Difference Equations 2013 2013:98

    Content type: Research

    Published on:

  9. This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equat...

    Authors: Wei-Hua Su, Xiao-Jun Yang, H Jafari and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:97

    Content type: Research

    Published on:

  10. In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, and global behavior of equilibrium points of a discrete Lotka-Volterra model given by

    Authors: Qamar Din

    Citation: Advances in Difference Equations 2013 2013:95

    Content type: Research

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  11. In this paper, we make use of the relatively new analytical technique, the homotopy decomposition method (HDM), to solve a system of fractional nonlinear differential equations that arise in the model for HIV ...

    Authors: Abdon Atangana and Ernestine Alabaraoye

    Citation: Advances in Difference Equations 2013 2013:94

    Content type: Research

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  12. The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of meromorphically p-valent functions ...

    Authors: Nak Eun Cho and Rekha Srivastava

    Citation: Advances in Difference Equations 2013 2013:93

    Content type: Research

    Published on:

  13. Host parasite models are similar to host parasitoid models except that the parasite does not necessarily kill the host. Leslie/Gower model (Leslie and Gower in Biometrika 47(3/4):219-234, 1960) played a histor...

    Authors: Ünal Ufuktepe and Sinan Kapçak

    Citation: Advances in Difference Equations 2013 2013:79

    Content type: Research

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  14. The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions. I...

    Authors: Shrideh Khalaf Qasem Al-Omari and Adem Kılıçman

    Citation: Advances in Difference Equations 2013 2013:77

    Content type: Research

    Published on:

  15. In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting and new identities of s...

    Authors: Dae San Kim, Taekyun Kim, Dmitry V Dolgy and Seog-Hoon Rim

    Citation: Advances in Difference Equations 2013 2013:73

    Content type: Research

    Published on:

  16. In this paper, we propose a new three-level implicit nine-point compact finite difference formulation of order two in time and four in space directions, based on spline in tension approximation in x-direction and...

    Authors: Ranjan K Mohanty and Venu Gopal

    Citation: Advances in Difference Equations 2013 2013:70

    Content type: Research

    Published on:

  17. In this paper, the differential transformation method is applied by providing new theorems to develop exact and approximate solutions of nonlinear differential and integro-differential equations with proportio...

    Authors: Zdeněk Šmarda, Josef Diblík and Yasir Khan

    Citation: Advances in Difference Equations 2013 2013:69

    Content type: Research

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  18. The notion of statistical convergence was defined by Fast (Colloq. Math. 2:241-244, 1951) and over the years was further studied by many authors in different setups. In this paper, we define and study statisti...

    Authors: Syed Abdul Mohiuddine, Abdullah Alotaibi and Mohammad Mursaleen

    Citation: Advances in Difference Equations 2013 2013:66

    Content type: Research

    Published on:

  19. The goal of this paper is to define and study λ-double almost statistical convergence of order α. Further some inclusion relations are examined. We also introduce a new sequence space by combining the double almo...

    Authors: Ekrem Savaş

    Citation: Advances in Difference Equations 2013 2013:62

    Content type: Research

    Published on:

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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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