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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

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  1. Content type: Research

    In this paper the Bogdanov-Takens (BT) bifurcation of an 2m coupled neurons network model with multiple delays is studied, where one neuron is excitatory and the next is inhibitory. When the origin of the model h...

    Authors: Yanwei Liu, Xia Liu, Shanshan Li, Ruiqi Wang and Zengrong Liu

    Citation: Advances in Difference Equations 2015 2015:334

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  2. Content type: Research

    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...

    Authors: Josef Diblík, Barbara Łupińska, Miroslava Růžičková and Joanna Zonenberg

    Citation: Advances in Difference Equations 2015 2015:319

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  3. Content type: Research

    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...

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

    Citation: Advances in Difference Equations 2015 2015:278

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  4. Content type: Research

    By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral differential equatio...

    Authors: Yazhou Tian, Yuanli Cai, Youliang Fu and Tongxing Li

    Citation: Advances in Difference Equations 2015 2015:267

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  5. Content type: Research

    In this paper, we provide uniform design and analysis framework for iterative learning control of a class of impulsive first-order distributed parameter systems in the time domain. In particular, P-type and D-typ...

    Authors: Xiulan Yu and JinRong Wang

    Citation: Advances in Difference Equations 2015 2015:261

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  6. Content type: Research

    Research reveals that most HIV infections come from undiagnosed people and untreated people, but principally from unaware people. Human awareness results in the reduction of susceptibility to infection, natura...

    Authors: Priti Kumar Roy, Shubhankar Saha and Fahad Al Basir

    Citation: Advances in Difference Equations 2015 2015:217

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  7. Content type: Research

    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...

    Authors: Alexander V Vasilyev and Vladimir B Vasilyev

    Citation: Advances in Difference Equations 2015 2015:211

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  8. Content type: Research

    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...

    Authors: Małgorzata Guzowska, Agnieszka B Malinowska and Moulay Rchid Sidi Ammi

    Citation: Advances in Difference Equations 2015 2015:203

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  9. Content type: Research

    In this paper, we consider the following two-point boundary value problem for q-fractional p-Laplace difference equations. New results on the existence and uniqueness of solutions for q-fractional boundary value ...

    Authors: Misir J Mardanov, Nazim I Mahmudov and Yagub A Sharifov

    Citation: Advances in Difference Equations 2015 2015:185

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  10. Content type: Research

    The paper deals with a system of nonlinear differential equations under the influence of white noise. This system can be used as a mathematical model of various real problems in finance, mathematical biology, ...

    Authors: Irada Dzhalladova, Miroslava Růžičková and Viera Štoudková Růžičková

    Citation: Advances in Difference Equations 2015 2015:143

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