An Oscillation Theorem for Characteristic Initial Value Problems for Nonlinear Hyperbolic Equations
An Oscillation Theorem for Characteristic Initial Value Problems for Nonlinear Hyperbolic Equations
The nonlinear hyperbolic operator L[u] =uxy + c(x,y,u) is studied and sufficient conditions are given that all solutions of the characteristic initial value problem for uL[u] < 0 are oscillatory in (0, oo) X (0, oo).Recently there has been an increasing interest in studying the oscillatory behavior of solutions of …