Detail publikace

Recent Advances in Oscillation Theory 2011

Originální název

Recent Advances in Oscillation Theory 2011

Anglický název

Recent Advances in Oscillation Theory 2011

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}