International Journal of Differential Equations

Recent Advances in Oscillation Theory


Publishing date
01 May 2010
Status
Published
Submission deadline
01 Nov 2009

1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

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


Recent Advances in Oscillation Theory

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, as well as natural and social sciences. Fundamental problems of the classical theory of oscillations consist in proving the existence or nonexistence of oscillatory (periodic, almost-periodic, etc.) solutions of a given equation or system, and, in simpler cases, funding such solutions. Furthermore, the behavior of other solutions in relation to a given oscillatory (nonoscillatory) solution is often investigated.

Every year 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, are published. However, this important branch of research is not purely theoretical and has very 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 or describe novel techniques and approaches to classical problems in the theory of oscillation, as well as survey papers illuminating important recent developments and contributing to further progress in this important branch of the qualitative theory of differential equations. We particularly welcome manuscripts dealing with oscillation or nonoscillation of solutions in applied problems arising in engineering, technology, natural, and social sciences. The topics to be covered include, but are not limited to:
  • Oscillation in ordinary differential equations
  • Oscillation in functional differential equations
  • Oscillation in difference equations
  • Oscillation in dynamic equations
  • Oscillation in equations on time scales
  • Oscillation in systems of differential and functional-differential equations
  • Oscillation in impulsive differential equations
  • Oscillation in matrix equations
  • Oscillation in partial differential equations
  • Control and stabilization of oscillations
  • Synchronization of oscillations
  • Oscillations in biological, mechanical systems

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 2010
  • - Article ID 634238
  • - Editorial

Recent Advances in Oscillation Theory

Yuri V. Rogovchenko | Leonid Berezansky | ... | Josef Diblík
  • Special Issue
  • - Volume 2010
  • - Article ID 354726
  • - Research Article

Conditions for Oscillation of a Neutral Differential Equation

Weiping Yan | Jurang Yan
  • Special Issue
  • - Volume 2010
  • - Article ID 598068
  • - Review Article

Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations

L. K. Kikina | I. P. Stavroulakis
  • Special Issue
  • - Volume 2010
  • - Article ID 287969
  • - Research Article

A Predator-Prey Model in the Chemostat with Time Delay

Guihong Fan | Gail S. K. Wolkowicz
  • Special Issue
  • - Volume 2010
  • - Article ID 508217
  • - Research Article

On the Positivity and Zero Crossings of Solutions of Stochastic Volterra Integrodifferential Equations

John A. D. Appleby
  • Special Issue
  • - Volume 2010
  • - Article ID 181784
  • - Research Article

Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument

Jing Shao | Fanwei Meng
  • Special Issue
  • - Volume 2010
  • - Article ID 520486
  • - Research Article

Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality

Norio Yoshida
  • Special Issue
  • - Volume 2010
  • - Article ID 308357
  • - Research Article

Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument

Siyu Zhang | Fanwei Meng
  • Special Issue
  • - Volume 2010
  • - Article ID 596350
  • - Research Article

Oscillatory Nonautonomous Lucas Sequences

José M. Ferreira | Sandra Pinelas
International Journal of Differential Equations
 Journal metrics
Acceptance rate36%
Submission to final decision46 days
Acceptance to publication47 days
CiteScore1.400
Impact Factor-
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