Oscillatory criteria of nonlinear hyperbolic equations with continuous deviating arguments
The author studies the oscillation of solutions of the following nonlinear hyperbolic equations with continuous deviating arguments \[ \frac{\partial ^2}{\partial t^2} [u + \lambda (t)u(x,t-\tau)] = a(t)\Delta u - c(t,x,u) - \int_a^b q(x,t,\xi) u[x,g(t,\xi)]d \sigma (\xi) \] together with boundary conditions of Dirichlet or mixed types. Using averaging technique sufficient conditions for the oscillation are obtained. Examples are presented.
boundary conditions of Dirichlet or mixed types
scientific article; zbMATH DE number 1464462