Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments

Satoshi Tanaka; Norio Yoshida

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 1, page 37-54
  • ISSN: 0066-2216

Abstract

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Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.

How to cite

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Satoshi Tanaka, and Norio Yoshida. "Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments." Annales Polonici Mathematici 85.1 (2005): 37-54. <http://eudml.org/doc/280381>.

@article{SatoshiTanaka2005,
abstract = {Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.},
author = {Satoshi Tanaka, Norio Yoshida},
journal = {Annales Polonici Mathematici},
keywords = {forced oscillation; hyperbolic equations; continuous distributed deviating arguments; functional differential inequalities; integral means},
language = {eng},
number = {1},
pages = {37-54},
title = {Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments},
url = {http://eudml.org/doc/280381},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Satoshi Tanaka
AU - Norio Yoshida
TI - Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 1
SP - 37
EP - 54
AB - Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
LA - eng
KW - forced oscillation; hyperbolic equations; continuous distributed deviating arguments; functional differential inequalities; integral means
UR - http://eudml.org/doc/280381
ER -

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