Hyperbolic Equation Characteristic Initial Value Problem Oscillation Eventually Positive Solution Eventually Negative Solution
Issue Date:
2003
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 189p-200p
Abstract:
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.