OSCILLATIONS OF SOLUTIONS TO PARABOLIC EQUATIONS WITH DEVIATING ARGUMENTS

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SATOSHI TANAKA
NORIO YOSHIDA

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
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Papers

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