OSCILLATIONS OF SOLUTIONS TO PARABOLIC EQUATIONS WITH DEVIATING ARGUMENTS

Authors

  • 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.

DOI:

https://doi.org/10.5556/j.tkjm.28.1997.4246

Keywords:

Oscillation, deviating arguments, parabolic equation

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.

References

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Published

1997-09-01

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

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Papers