OSCILLATIONS OF SOLUTIONS TO PARABOLIC EQUATIONS WITH DEVIATING ARGUMENTS

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Published: Sep 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4246
Keywords:
Oscillation deviating arguments parabolic equation

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SATOSHI TANAKA
Department of Mathematics, Faculty of Science, Toyama University, Toyama 930, Japan.
NORIO YOSHIDA
Department of Mathematics, Faculty of Science, Toyama University, Toyama 930, Japan.

Abstract




Nonlinear parabolic equations with deviating arguments arc studied and sufficient conditions are derived for every solution of boundary value problems to be oscillatory in a cylindrical domam. Two kinds of boundary conditions are considered. Our approach is to reduce the multi-dimensional problem to a one-dimensional problem for differential inequalities of neutral type.




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How to Cite
TANAKA, S., & YOSHIDA, N. (1997). OSCILLATIONS OF SOLUTIONS TO PARABOLIC EQUATIONS WITH DEVIATING ARGUMENTS. Tamkang Journal of Mathematics, 28(3), 169–181. https://doi.org/10.5556/j.tkjm.28.1997.4246
Issue
Vol. 28 No. 3 (1997)
Section
Papers
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