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Oscillatory properties of the solutions of hyperbolic differential equations with ”maximum”. (English) Zbl 0609.35054

The paper considers the oscillatory properties of the solutions of a Goursat problem for the hyperbolic equation with ”maximum” \[ u_{xy}+p(x,y)\max u[x-\theta_ 1,y-\theta_ 2]=0;\quad \theta_ 1\epsilon [0,\sigma],\theta_ 2\epsilon [0,\tau] \] where \(\sigma,\tau =const>0\).
Reviewer: E.Young

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
93C20 Control/observation systems governed by partial differential equations
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