Research
Advances in Difference Equations 2015 2015:350
Published on: 16 November 2015
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
Research
Advances in Difference Equations 2015 2015:350
Published on: 16 November 2015
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...
Advances in Difference Equations 2015 2015:334
Published on: 24 October 2015
Research
In this paper, the asymptotic stability of linear and interval linear fractional-order neutral systems with time delay is discussed with true initial conditions. By applying the relation between integer system...
Advances in Difference Equations 2015 2015:325
Published on: 19 October 2015
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...
Advances in Difference Equations 2015 2015:319
Published on: 15 October 2015
Research
In this paper, the concepts of a right fractional sum and right fractional difference operators are introduced. Some basic properties of a right fractional sum and right fractional difference operators are pro...
Advances in Difference Equations 2015 2015:288
Published on: 17 September 2015
Research
In this paper we start by giving a new definition of weak Caputo derivative in the sense of distributions, and we give a variational formulation to a fractional diffusion equation with Caputo derivative. We pr...
Advances in Difference Equations 2015 2015:283
Published on: 11 September 2015
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...
Advances in Difference Equations 2015 2015:278
Published on: 7 September 2015
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...
Advances in Difference Equations 2015 2015:267
Published on: 28 August 2015
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...
Advances in Difference Equations 2015 2015:261
Published on: 22 August 2015
Research
Advances in Difference Equations 2015 2015:253
Published on: 15 August 2015
Research
Advances in Difference Equations 2015 2015:251
Published on: 13 August 2015
Research
Advances in Difference Equations 2015 2015:238
Published on: 4 August 2015
Research
We investigate the hyper-order of solutions of two class of complex linear differential equations. We investigate the growth of solutions of higher order and certain second order linear differential equations,...
Advances in Difference Equations 2015 2015:234
Published on: 29 July 2015
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...
Advances in Difference Equations 2015 2015:217
Published on: 15 July 2015
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...
Advances in Difference Equations 2015 2015:211
Published on: 10 July 2015
Research
We investigate second order half-linear Euler type difference equations whose coefficients have mean values. We show that these equations are conditionally oscillatory and we explicitly identify the correspond...
Advances in Difference Equations 2015 2015:210
Published on: 9 July 2015
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...
Advances in Difference Equations 2015 2015:203
Published on: 4 July 2015
Research
Advances in Difference Equations 2015 2015:192
Published on: 23 June 2015
Research
We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to hav...
Advances in Difference Equations 2015 2015:190
Published on: 20 June 2015
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 ...
Advances in Difference Equations 2015 2015:185
Published on: 18 June 2015
Research
This note is motivated by some papers treating the fractional hybrid differential equations involving Riemann-Liouville differential operators of order
Advances in Difference Equations 2015 2015:183
Published on: 18 June 2015
Research
Advances in Difference Equations 2015 2015:176
Published on: 11 June 2015
Research
In this paper, we investigate the existence of positive mild solutions of fractional evolution equations with nonlocal conditions of order
Advances in Difference Equations 2015 2015:159
Published on: 19 May 2015
Research
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:
Advances in Difference Equations 2015 2015:150
Published on: 9 May 2015
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, ...
Advances in Difference Equations 2015 2015:143
Published on: 7 May 2015
Research
This work presents a new approach to numerically solve the general linear two-point boundary value problems with Dirichlet boundary conditions. Multilevel bases from the anti-derivatives of the Daubechies wave...
Advances in Difference Equations 2015 2015:126
Published on: 23 April 2015
Research
The aim of this paper is to correct some ambiguities and inaccuracies in Agarwal et al. (Commun. Nonlinear Sci. Numer. Simul. 20(1):59-73, 2015; Adv. Differ. Equ. 2013:302, 2013, doi:
Advances in Difference Equations 2015 2015:112
Published on: 4 April 2015
Research
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...
Advances in Difference Equations 2015 2015:89
Published on: 18 March 2015
Research
The presence of a self-mapping increases the difficulty in proving the existence and uniqueness of solutions for general iterative fractional differential equations. In this article, we provide conditions for ...
Advances in Difference Equations 2015 2015:78
Published on: 5 March 2015
Research
In this paper, we study the fuzzy Laplace transforms introduced by the authors in (Allahviranloo and Ahmadi in Soft Comput. 14:235-243, 2010) to solve only first-order fuzzy linear differential equations. We e...
Advances in Difference Equations 2015 2015:66
Published on: 28 February 2015
Research
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...
Advances in Difference Equations 2015 2015:58
Published on: 24 February 2015
Research
In this paper, using the fixed point theorem, we investigate the boundedness and asymptotic stability of the zero solution of the discrete Volterra equation
Advances in Difference Equations 2015 2015:47
Published on: 20 February 2015
Research
The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment equations for the system are derived and u...
Advances in Difference Equations 2014 2014:289
Published on: 17 November 2014
Research
In this paper, by means of the Avery-Peterson fixed point theorem, we establish the existence result of a multiple positive solution of the boundary value problem for a nonlinear differential equation with Rie...
Advances in Difference Equations 2014 2014:284
Published on: 3 November 2014