An oscillation theorem for characteristic initial value problems for nonlinear hyperbolic equations

Yoshida, Norio

doi:10.1090/S0002-9939-1979-0534396-6

An oscillation theorem for characteristic initial value problems for nonlinear hyperbolic equations
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Proc. Amer. Math. Soc. 76 (1979), 95-100 Request permission

Abstract:

The nonlinear hyperbolic operator $L[u] \equiv {u_{xy}} + c(x,y,u)$ is studied and sufficient conditions are given that all solutions of the characteristic initial value problem for $uL[u] \leqslant 0$ are oscillatory in $(0,\infty ) \times (0,\infty )$.

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