Publication detail

Recent Advances in Oscillation Theory 2011

DIBLÍK, J. BEREZANSKY, L. BRAVERMAN, E. ROGOVCHENKO, Y.

Original Title

Recent Advances in Oscillation Theory 2011

English Title

Recent Advances in Oscillation Theory 2011

Type

journal article - other

Language

en

Original Abstract

Theory of oscillations is an important and well established branch of the modern theory of differential equations concerned, in a broad sense, with the study of oscillatory phenomena arising in applied problems in technology, natural and social sciences. Theoretical aspects of the classical theory of oscillations regard existence and non-existence of oscillatory (periodic, almost-periodic, etc.) solutions to a given equation or system, and description of asymptotic behavior of such solutions. It is well known that oscillation of solutions is an intrinsic feature of many dynamical systems. Furthermore, oscillations can be induced in a non-oscillatory system by nonlinear terms, delayed or advanced arguments, randomness, though these factors may also destroy oscillations arising in the original system. In the paper an overview of recent results in oscillation theory is given.

English abstract

Theory of oscillations is an important and well established branch of the modern theory of differential equations concerned, in a broad sense, with the study of oscillatory phenomena arising in applied problems in technology, natural and social sciences. Theoretical aspects of the classical theory of oscillations regard existence and non-existence of oscillatory (periodic, almost-periodic, etc.) solutions to a given equation or system, and description of asymptotic behavior of such solutions. It is well known that oscillation of solutions is an intrinsic feature of many dynamical systems. Furthermore, oscillations can be induced in a non-oscillatory system by nonlinear terms, delayed or advanced arguments, randomness, though these factors may also destroy oscillations arising in the original system. In the paper an overview of recent results in oscillation theory is given.

Keywords

Theory of oscillations, applied theory of differential equations, oscillatory (periodic, almost-periodic, etc) solution, perturbation, dynamical system.

RIV year

2011

Released

02.12.2011

ISBN

1687-9643

Periodical

International Journal of Differential Equations

Year of study

2011

Number

1

State

US

Pages from

1

Pages to

3

Pages count

3

Documents

BibTex


@article{BUT75784,
  author="Josef {Diblík} and Leonid {Berezansky} and Elena {Braverman} and Yuri {Rogovchenko}",
  title="Recent Advances in Oscillation Theory 2011",
  annote="Theory of oscillations is an important and well established branch of the modern theory of differential equations concerned, in a broad sense, with the study of oscillatory phenomena arising in applied problems in technology, natural and social sciences. Theoretical aspects of the classical theory of oscillations regard existence and non-existence of oscillatory (periodic, almost-periodic, etc.) solutions to a given equation or system, and description of asymptotic behavior of such solutions. It is well known that oscillation of solutions is an intrinsic feature of many dynamical systems.  Furthermore, oscillations can be induced in a non-oscillatory system by nonlinear terms, delayed or advanced arguments, randomness, though these factors may also destroy oscillations arising in the original system. In the paper an overview of recent results in oscillation theory is given.",
  chapter="75784",
  number="1",
  volume="2011",
  year="2011",
  month="december",
  pages="1--3",
  type="journal article - other"
}