Skip to main content

Progress in Functional Differential and Difference Equations

This thematic series is focused on the latest achievements in functional differential and difference equations. It reflects both the state-of-the-art theoretical research and important recent advances in applications. Differential and difference equations play a fundamental role in many applied problems arising in mathematical biology, physics, medicine, social sciences. It is important to develop new methods, as well as to adapt and refine known techniques for the analysis of new classes of applied problems. In the scope are not only problems described by classical ordinary and partial equations, but also by equations on time scales, fractional equations or equations with impulses.

Edited by: Leonid Berezasky, Valery Covachev, Josef Diblik, Yuriy Rogovchenko and Miroslava Ruzickova

Previous Page Page 1 of 2 Next Page
  1. Research

    Factorization of the linear differential operator

    The paper deals with the problem of factorization of a linear differential operator with matrix-valued coefficients into a product of lower order operators of the same type. Necessary and sufficient conditions...

    Klara R Janglajew and Kim G Valeev

    Advances in Difference Equations 2013 2013:237

    Published on: 7 August 2013

  2. Research

    Systems of singular differential equations with pulse action

    The paper deals with the singular systems of ordinary differential equations with impulsive action under the assumption that the considered systems can be reduced into the central canonical form. An approach w...

    Alexandr Boichuk, Martina Langerová, Miroslava Růžičková and Evgenij Voitushenko

    Advances in Difference Equations 2013 2013:186

    Published on: 26 June 2013

  3. Research Article

    Discrete matrix delayed exponential for two delays and its property

    In recent papers, a discrete matrix delayed exponential for a single delay was defined and its main property connected with the solution of linear discrete systems with a single delay was proved. In the presen...

    Josef Diblík and Blanka Morávková

    Advances in Difference Equations 2013 2013:139

    Published on: 14 May 2013

  4. Research

    On the meromorphic solutions of some linear difference equations

    This paper is devoted to studying the growth of meromorphic solutions of some linear difference equations. We obtain some results on the growth of meromorphic solutions when most coefficients in such equations...

    Huifang Liu and Zhiqiang Mao

    Advances in Difference Equations 2013 2013:133

    Published on: 7 May 2013

  5. Research

    Chaotic behavior in a class of delay difference equations

    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...

    Zongcheng Li, Qingli Zhao and Di Liang

    Advances in Difference Equations 2013 2013:99

    Published on: 10 April 2013

  6. Research

    Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations

    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 ...

    Abdon Atangana and Ernestine Alabaraoye

    Advances in Difference Equations 2013 2013:94

    Published on: 5 April 2013

  7. Research

    An application on the second-order generalized difference equations

    In this paper, we study the solutions of the second-order generalized difference equation having the form of

    Mariasebastin Maria Susai Manuel, Adem Kılıçman, Gnanadhass Britto Antony Xavier, Rajan Pugalarasu and Devadanam Suseela Dilip

    Advances in Difference Equations 2013 2013:35

    Published on: 14 February 2013

  8. Research

    Results on meromorphic solutions of linear difference equations

    In this paper, we investigate meromorphic solutions of linear difference equations and prove a number of results. We give estimates for the growth of meromorphic solutions under some special cases and provide ...

    Sheng Li and Baoqin Chen

    Advances in Difference Equations 2012 2012:203

    Published on: 27 November 2012

Previous Page Page 1 of 2 Next Page