Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620365 | Journal of Mathematical Analysis and Applications | 2009 | 9 Pages |
Abstract
We consider three kind of oscillatory properties of the solutions to semilinear degenerate hyperbolic equations. Several sufficient conditions for the oscillation or non-oscillation are presented. In particular, they give us the positivity of the solutions for semilinear hyperbolic equations degenerating at initial point in one space dimension. Moreover we establish a few oscillatory conditions for the solutions of the mixed problem reduced to in one space dimension.
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