Hyperbolic Equation Characteristic Initial Value Problem Oscillation Eventually Positive Solution Eventually Negative Solution
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 189p-200p
We consider the nonlinear hyperbolic equation with delays uxy + λuxy(x - σ, у - τ) + c(x, у, u, ux, uy) = f(x, у)
. We obtain sufficient conditions for oscillation of the solutions of problems of Goursat in the case, where λ>0.