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Recent Progress in Differential and Difference Equations (2014)

This Thematic series originates from two international conferences. The first, the Conference on Differential and Difference Equations and Applications, was held in June 2014 in Jasna, Slovak Republic and was organised by the Department of Mathematics, University of Žilina. The second is the 6th Podlasie Conference on Mathematics, which was held in July 2014 in Bialystok, Poland and was organised by the Polish Mathematical Society. The series focuses on the latest achievements in functional differential and difference equations, publishing contributions presented at the conferences as well as other high quality papers that outline the recent progress in functional differential and difference equations.

Edited by: Josef Diblik, Ewa Girejko, Dorota Mozyrska, Yuriy Rogovchenko, Miroslava Ruzickova and Ewa Schmeidel

  1. Research

    Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system

    The paper is concerned with a four-dimensional nonlinear difference system with delayed arguments where the first equation of the system is of a neutral type. A classification of non-oscillatory solutions is g...

    Josef Diblík, Barbara Łupińska, Miroslava Růžičková and Joanna Zonenberg

    Advances in Difference Equations 2015 2015:319

    Published on: 15 October 2015

  2. Research

    On a fractional order Ebola epidemic model

    Ebola is a world health problem and with a recent outbreak. There exist different models in the literature to predict its behavior, most of them based on data coming from previous outbreaks or using restricted...

    Ivan Area, Hanan Batarfi, Jorge Losada, Juan J Nieto, Wafa Shammakh and Ángela Torres

    Advances in Difference Equations 2015 2015:278

    Published on: 7 September 2015

  3. Research

    On some classes of difference equations of infinite order

    We consider a certain class of difference equations on an axis and a half-axis, and we establish a correspondence between such equations and simpler kinds of operator equations. The last operator equations can...

    Alexander V Vasilyev and Vladimir B Vasilyev

    Advances in Difference Equations 2015 2015:211

    Published on: 10 July 2015

  4. Research

    Calculus of variations on time scales: applications to economic models

    The time scale calculus theory can be applicable to any field in which dynamic processes are described by discrete- or continuous-time models. On the other hand, many economic models are dynamic models. Theref...

    Małgorzata Guzowska, Agnieszka B Malinowska and Moulay Rchid Sidi Ammi

    Advances in Difference Equations 2015 2015:203

    Published on: 4 July 2015

  5. Research

    Entire solutions of certain class of differential-difference equations

    As a continuation of our previous studies Liu et al. (J. Inequal. Appl. 2014:63, 2014), we will discuss the transcendental entire solutions of the following type of differential-difference equation:

    Fengrong Zhang, Nana Liu, Weiran Lü and Chungchun Yang

    Advances in Difference Equations 2015 2015:150

    Published on: 9 May 2015

  6. Research

    Constrained local controllability of dynamic systems on time scales

    The problem of controllability to a given convex target set of a linear time-varying control system on time scales is studied. Necessary and sufficient conditions of controllability with constrained controller...

    Klara Janglajew and Ewa Pawłuszewicz

    Advances in Difference Equations 2015 2015:89

    Published on: 18 March 2015

  7. Research

    On memo-viability of fractional equations with the Caputo derivative

    In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give a necessary condition for fractional viability of a locally closed set with respec...

    Ewa Girejko, Dorota Mozyrska and Małgorzata Wyrwas

    Advances in Difference Equations 2015 2015:58

    Published on: 24 February 2015

  8. Research

    Boundedness and stability of discrete Volterra equations

    In this paper, using the fixed point theorem, we investigate the boundedness and asymptotic stability of the zero solution of the discrete Volterra equation

    http://static-content.springer.com/image/art%3A10.1186%2Fs13662-015-0361-6/13662_2015_361_Article_Equa.gif ...

    Małgorzata Migda, Miroslava Růžičková and Ewa Schmeidel

    Advances in Difference Equations 2015 2015:47

    Published on: 20 February 2015