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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

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  1. Content type: Research

    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...

    Authors: Klara R Janglajew and Kim G Valeev

    Citation: Advances in Difference Equations 2013 2013:237

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  2. Content type: Research

    The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration. The main idea of this method is to reduce integro-differential equations to aux...

    Authors: Yakov Goltser and Alexander Domoshnitsky

    Citation: Advances in Difference Equations 2013 2013:187

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  3. Content type: Research

    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...

    Authors: Alexandr Boichuk, Martina Langerová, Miroslava Růžičková and Evgenij Voitushenko

    Citation: Advances in Difference Equations 2013 2013:186

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  4. Content type: Research

    The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used...

    Authors: Josef Diblík, Irada Dzhalladova, Mária Michalková and Miroslava Růžičková

    Citation: Advances in Difference Equations 2013 2013:152

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  5. Content type: Research Article

    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...

    Authors: Josef Diblík and Blanka Morávková

    Citation: Advances in Difference Equations 2013 2013:139

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  6. Content type: Research Article

    Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equ...

    Authors: Ahmad Jafarian, Safa A Measoomy Nia, Alireza K Golmankhaneh and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:123

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  7. Content type: Research

    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

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  8. Content type: Research

    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

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  9. Content type: Research

    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

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  10. Content type: Research

    The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established ...

    Authors: Andrei Shatyrko, Josef Diblík, Denys Khusainov and Miroslava Růžičková

    Citation: Advances in Difference Equations 2012 2012:229

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  11. Content type: Research

    In this paper, we propose and analyze a mathematical model for the treatment of chronic myelogenous (myeloid) leukemia (CML), a cancer of the blood. Our main focus is on the combined treatment of CML based on ...

    Authors: Leonid Berezansky, Svetlana Bunimovich-Mendrazitsky and Alexander Domoshnitsky

    Citation: Advances in Difference Equations 2012 2012:217

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  12. Content type: Research

    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 ...

    Authors: Sheng Li and Baoqin Chen

    Citation: Advances in Difference Equations 2012 2012:203

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  13. Content type: Research

    In this paper, we propose a new technique for solving space-time fractional telegraph equations. This method is based on perturbation theory and the Laplace transformation. Fractional Taylor series and fractio...

    Authors: Yasir Khan, Josef Diblík, Naeem Faraz and Zdeněk Šmarda

    Citation: Advances in Difference Equations 2012 2012:204

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