Nonlinear Oscillations and Boundary Value Problems

Dear colleagues,
    The investigation of oscillatory phenomena is an important part of the theory of differential equations. It is well-known that oscillations occur in a natural way virtually in every area of applied science including, e.g., mechanics, electrical and radio engineering, or vibrotechnics. One can mention, for instance, the beating of the human heart in medicine, business cycles in economics, predator-prey cycles in population dynamics, vibrating strings in musical instruments, periodic firing of nerve cells in the brain. Theoretical aspects of the classical theory of oscillations include the investigation of harmonic, periodic, and almost periodic solutions of various types of ordinary differential equations and systems. Among important related tasks one should outline obtaining  sufficient conditions for the existence of such solutions, description of their asymptotic behaviour, study of oscillatory properties and mutual disposition of zeros, detection of solutions possessing particular symmetry properties, development of efficient methods for the construction of solutions. The topics mentioned have also a strong relation to the theory of non-linear boundary value problems.
    This issue is devoted to non-linear oscillations in a broad sense and will cover the related topics for non-linear systems of differential equations, equations with retarded argument and more general functional differential equations.
    We hope that researchers working in differential equations and related topics will find in this special issue new ideas and techniques that will stimulate further progress in the field.

Prof. Miklós Rontó
Dr. András Rontó
Guest Editors

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