Abstract and Applied Analysis

Qualitative Theory of Functional Differential and Integral Equations


Publishing date
18 Jul 2014
Status
Published
Submission deadline
28 Feb 2014

Lead Editor

1Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, Turkey

2Department of Mathematics, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

3College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China

4Department of Mathematics, University of Dayton, Dayton, OH 45469, USA

5Department of Mathematics, Faculty of Science, Mansoura University, Daqahlia, Egypt


Qualitative Theory of Functional Differential and Integral Equations

Description

Functional differential equations, which include ordinary and delay differential equations, and integral equations have important roles in many scientific areas such as mechanics, engineering, economy, control theory, physics, chemistry, biology, medicine, atomic energy, and information theory. This special issue is concerned with qualitative behaviors of these equations. The qualitative behavior of equations includes oscillation, stability, periodicity, global attractivity, bifurcation analysis, control of chaos, and existence of solutions of integral equations. We aim to provide a platform for the discussion of the major research challenges and achievements on qualitative behaviors of solutions of these equations. Theoretical as well as application results are welcome. Potential topics include, but are not limited to:

  • Fractional differential equations
  • Delay differential equations
  • Neutral delay differential equations
  • Distribution of zeros of differential equations and Lyapunov’s inequalities
  • Different types of inequalities (Opial, Wirtinger, Grown-wall, Belmann, Halany, etc.)
  • Rayleigh equation
  • Volterra integral equations
  • Lyapunov’s stability theory
  • Asymptotic behavior (oscillation stability, periodicity, and global attractivity) of models
  • Global existence of solutions

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/submit/journals/aaa/ofde/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 515162
  • - Editorial

Qualitative Theory of Functional Differential and Integral Equations

Cemil Tunç | Mouffak Benchohra | ... | Samir H. Saker
  • Special Issue
  • - Volume 2014
  • - Article ID 838396
  • - Research Article

Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4+ T-cells

P. Balasubramaniam | M. Prakash | ... | S. Lakshmanan
  • Special Issue
  • - Volume 2014
  • - Article ID 956318
  • - Research Article

Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

M. De la Sen | A. Ibeas | R. Nistal
  • Special Issue
  • - Volume 2014
  • - Article ID 725832
  • - Research Article

Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference and Application

Peiguang Wang | Xiaowei Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 316093
  • - Research Article

Multiple Positive Periodic Solutions for a Functional Difference System

Yue-Wen Cheng | Hui-Sheng Ding
  • Special Issue
  • - Volume 2014
  • - Article ID 618434
  • - Research Article

Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

Mohamed Abdalla Darwish | Józef Banaś
  • Special Issue
  • - Volume 2014
  • - Article ID 818732
  • - Research Article

On Eventually Positive Solutions of Quasilinear Second-Order Neutral Differential Equations

Simona Fišnarová | Robert Mařík
  • Special Issue
  • - Volume 2014
  • - Article ID 593210
  • - Research Article

Symmetry and Nonexistence of Positive Solutions for Weighted HLS System of Integral Equations on a Half Space

Linfen Cao | Zhaohui Dai
  • Special Issue
  • - Volume 2014
  • - Article ID 252579
  • - Research Article

Almost Periodic Solution of a Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response and Feedback Controls

Kerong Zhang | Jianli Li | Aiwen Yu
  • Special Issue
  • - Volume 2014
  • - Article ID 413037
  • - Research Article

Stability to a Kind of Functional Differential Equations of Second Order with Multiple Delays by Fixed Points

Cemil Tunç | Emel Biçer
Abstract and Applied Analysis
 Journal metrics
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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