Abstract and Applied Analysis

Recent Progress in Differential and Difference Equations


Publishing date
01 Jul 2011
Status
Published
Submission deadline
01 Jan 2011

1Brno University of Technology, Brno, Czech Republic

2University of Calgary, Calgary, AB, Canada

3University of Ε½ilina, Ε½ilina, Slovak Republic


Recent Progress in Differential and Difference Equations

Description

Organized by M. RΕ―ΕΎičkovΓ‘ (Slovak Republic) and J. DiblΓ­k (Czech Republic), a Conference on Differential and Difference Equations and Applications 2010 was held in RajeckΓ© Teplice, Slovak Republic, in June 21–25, 2010. More than 50 contributed papers were presented along with eighteen invited lectures given by renown experts in the field such as T. A. Burton, V. Covachev, O. DoΕ‘lΓ½, J. DΕΎurina, I. RachΕ―nkovΓ‘, J. JaroΕ‘, W. Kratz, N. Partsvania, V. RΔƒsvan, M. RontΓ³, S. StanΔ•k, M. TvrdΓ½, and F. Sadyrbaev. The included topics were different aspects of oscillation, nonoscillation, periodicity, boundary value problems, stability, asymptotic behaviour, boundedness, controllability and optimization, representation of solutions, dependence on parameters, algebraic problems for linear equations, fractional and half-linear equations, generalized differential equations, functional equations, impulsive equations, integrodifferential equations, integral equations, symplectic systems, and dynamic equations on time scales. Applications to economy and modelling of heterogeneous media were presented as well.

This special issue will include the best contributions presented at the conference, and as well as others that outline the recent progress in differential and difference equations. This special issue will focus on the qualitative and quantitative properties of differential and difference equations. Potential topics include, but are not limited to:

  • Asymptotic behaviour of solutions
  • Boundedness of solutions
  • Nonoscillation and oscillation theory
  • Stability theory
  • Numerical algorithms and computational aspects
  • Applications to real-world phenomena

Manuscripts that are submitted to this special issue will automatically recieve a 50% reduction in the journal's Article Processing Charges.

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2011
  • - Article ID 671967
  • - Research Article

Asymptotic Behavior of Solutions of Delayed Difference Equations

J. DiblΓ­k | I. Hlavičková
  • Special Issue
  • - Volume 2011
  • - Article ID 709427
  • - Research Article

Asymptotic Convergence of the Solutions of a Discrete Equation with Two Delays in the Critical Case

L. Berezansky | J. Diblík | ... | Z. Šutá
  • Special Issue
  • - Volume 2011
  • - Article ID 182831
  • - Research Article

Existence Theory for Pseudo-Symmetric Solution to -Laplacian Differential Equations Involving Derivative

You-Hui Su | Weili Wu | Xingjie Yan
  • Special Issue
  • - Volume 2011
  • - Article ID 565067
  • - Research Article

Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations

Jan Čermák | Tomáš Kisela | Luděk Nechvátal
  • Special Issue
  • - Volume 2011
  • - Article ID 981401
  • - Research Article

Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Irena Rachůnková | Lukáš Rachůnek
  • Special Issue
  • - Volume 2011
  • - Article ID 346745
  • - Research Article

Existence of Nonoscillatory Solutions of First-Order Neutral Differential Equations

Božena Dorociaková | Anna Najmanová | Rudolf Olach
  • Special Issue
  • - Volume 2011
  • - Article ID 458275
  • - Research Article

Oscillation of Second-Order Sublinear Impulsive Differential Equations

A. Zafer
  • Special Issue
  • - Volume 2011
  • - Article ID 631412
  • - Research Article

Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems

A. Boichuk | J. Diblík | ... | M. Růžičková
  • Special Issue
  • - Volume 2011
  • - Article ID 178568
  • - Research Article

New Stability Conditions for Linear Differential Equations with Several Delays

Leonid Berezansky | Elena Braverman
  • Special Issue
  • - Volume 2011
  • - Article ID 486714
  • - Research Article

The Optimization of Solutions of the Dynamic Systems with Random Structure

Miroslava Růžičková | Irada Dzhalladova
Abstract and Applied Analysis
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Acceptance rate7%
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Acceptance to publication33 days
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