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

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