Oscillation properties for parabolic equations of neutral type

Bao Tong Cui

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 4, page 581-588
  • ISSN: 0010-2628

Abstract

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The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.

How to cite

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Cui, Bao Tong. "Oscillation properties for parabolic equations of neutral type." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 581-588. <http://eudml.org/doc/247406>.

@article{Cui1992,
abstract = {The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.},
author = {Cui, Bao Tong},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {partial differential equation; deviating argument; boundary problem; oscillation; deviating argument; boundary problem; oscillation},
language = {eng},
number = {4},
pages = {581-588},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Oscillation properties for parabolic equations of neutral type},
url = {http://eudml.org/doc/247406},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Cui, Bao Tong
TI - Oscillation properties for parabolic equations of neutral type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 581
EP - 588
AB - The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.
LA - eng
KW - partial differential equation; deviating argument; boundary problem; oscillation; deviating argument; boundary problem; oscillation
UR - http://eudml.org/doc/247406
ER -

References

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  1. Mishev D.P., Bainov D.D., Oscillation of the solutions of parabolic differential equations of neutral type, Appl. Math. Comput. 28 (1988), 97-111. (1988) Zbl0673.35037MR0963107
  2. Mishev D.P., Bainov D.D., Oscillation properties of the solutions of a class of hyperbolic equations of neutral type, Funkc. Ekvac. 29 (1986), 213-218. (1986) Zbl0651.35052MR0877430
  3. Yoshida N., Forced oscillations of solutions of parabolic equations, Bull. Austral. Math. Soc. 36 (1987), 289-294. (1987) Zbl0618.35065MR0909776
  4. Georgiou D., Kreith K., Functional characteristic initial value problems, J. Math. Anal. Appl. 107 (1985), 414-424. (1985) Zbl0585.35067MR0787724
  5. Cui Baotong, Oscillation theorems of nonlinear parabolic equations of neutral type, Math. J. Toyama Univ. 14 (1991), 113-123. (1991) Zbl0788.35069MR1145145

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