Forced Oscillation of Hyperbolic Equation with Distributed Deviating Argument

An averaging technique is used to study the forced oscillation of nonlinear hyperbolic equations with a distributed deviating argument. The multidimensional problem is reduced to a one dimensional oscillation problem of ordinary differential equations or inequalities. This paper uses the Robin eigenvalue problem to study the oscillation of Robin Boundary value problems, where is different from the other papers. Forced oscillatory criteria for the Robin boundary value problem of nonlinear hyperbolic equations with a distributed deviating argument were obtained.