International Journal of Differential Equations

Recent Advances in Oscillation Theory 2011


Publishing date
01 Dec 2011
Status
Published
Submission deadline
01 Jun 2011

1Department of Mathematics, Ben Gurion University of the Negev, Be'er Sheva 84105, Israel

2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive North West, Calgary, AB, Canada T2N 1N4


Recent Advances in Oscillation Theory 2011

Description

The theory of oscillations is an important branch of the applied theory of differential equations related to the study of oscillatory phenomena in technology and natural and social sciences. Fundamental problems of the classical theory of oscillations consist of proving the existence or nonexistence of oscillatory (periodic, almost-periodic, etc.) solutions of a given equation or system and, in simpler cases, finding such solutions. Furthermore, the behavior of other solutions in relation to a given oscillatory (nonoscillatory) solution is often investigated.

During the past decade, hundreds of papers on theoretical aspects of oscillations of solutions to various classes of equations, including ordinary and functional differential equations as well as difference, dynamic, and partial differential equations, have been published. However, this rapidly expanding branch of research is not purely theoretical and has important applications. For instance, recent studies suggest that many animal and plant populations oscillate in synchrony because of the interactions such as predation and competition. Coupled oscillating biological populations can give rise to potentially important effects such as “synchronized chaos”. Therefore, through the study of oscillations, one gets deeper insights into the behavior of complex biological and social systems.

We invite researchers to present original articles that address new challenging problems related to linear and nonlinear oscillations and describe novel techniques and approaches to new and classical problems in the theory of oscillation. We would be pleased to publish papers illuminating important recent developments and contributing to further progress in this fast developing area of the qualitative theory of differential equations. We particularly welcome manuscripts dealing with oscillation or nonoscillation of solutions in applied problems arising in medicine, engineering, technology, natural, and social sciences. Potential topics include, but are not limited to:

  • Oscillation and nonoscillation in ordinary, functional, and impulsive differential equations
  • Oscillation in partial differential equations, difference equations, dynamic equations, and equations on time scales
  • Oscillation in matrix differential equations and systems of differential and functional-differential equations
  • Differential and integral inequalities and applications
  • Applications of oscillation and nonoscillation in stability theory
  • Control, stabilization, and synchronization of oscillations
  • Oscillations in biological, physical, and mechanical systems and engineering

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijde/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 275930
  • - Editorial

Recent Advances in Oscillation Theory 2011

Yuri V. Rogovchenko | Leonid Berezansky | ... | Josef Diblík
  • Special Issue
  • - Volume 2011
  • - Article ID 949547
  • - Research Article

Oscillatory Solutions of Neutral Equations with Polynomial Nonlinearities

Vasil G. Angelov | Dafinka Tz. Angelova
  • Special Issue
  • - Volume 2011
  • - Article ID 456216
  • - Research Article

Note on Some Nonlinear Integral Inequalities and Applications to Differential Equations

Khaled Boukerrioua
  • Special Issue
  • - Volume 2011
  • - Article ID 852919
  • - Research Article

Solutions of the Force-Free Duffing-van der Pol Oscillator Equation

Najeeb Alam Khan | Muhammad Jamil | ... | Nadeem Alam Khan
  • Special Issue
  • - Volume 2011
  • - Article ID 871574
  • - Research Article

Topological Conjugacy between Two Kinds of Nonlinear Differential Equations via Generalized Exponential Dichotomy

Xiaodan Chen | Yonghui Xia
  • Special Issue
  • - Volume 2011
  • - Article ID 612041
  • - Research Article

A Topological Approach to Bend-Twist Maps with Applications

Anna Pascoletti | Fabio Zanolin
  • Special Issue
  • - Volume 2011
  • - Article ID 863801
  • - Research Article

Oscillation of Second-Order Nonlinear Delay Dynamic Equations on Time Scales

H. A. Agwa | A. M. M. Khodier | Heba A. Hassan
  • Special Issue
  • - Volume 2011
  • - Article ID 649748
  • - Research Article

Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity

Najeeb Alam Khan | Muhammad Jamil | Asmat Ara
International Journal of Differential Equations
 Journal metrics
Acceptance rate25%
Submission to final decision46 days
Acceptance to publication47 days
CiteScore1.400
Impact Factor-
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