Oscillatory properties of the solutions of hyperbolic differential equations with ``maximum''

Forced oscillations of boundary value problems of higher order functional partial differential equations

“…Using above mentioned theorems we extend some results of [2,3,5,8] to the higher equations. Using above mentioned theorems we extend some results of [2,3,5,8] to the higher equations.…”

Distribution of the Zeros of the Solutions of Hyperbolic Differential Equations with Maxima

“…In the subsequent theorems we shall investigate the oscillatory properties of the solutions of problem (1), (3). With each solution u(x, t) ∈ C 2 (G) ∩ C 1 (G) of problem ( 1), (3), we associate the function (18) v(t) = Ω u(x, t) dx, t > 0.…”

On the zeros of solutions to nonlinear hyperbolic equations

“…We refer the reader to [2,[4][5][6][7]9,10,12] for characteristic initial value problems for hyperbolic equations, and to [1,3,5,11,13] for initial boundary value problems for wave equations. Forced oscillations of solutions to hyperbolic equations were studied by Kreith et al [5] and Mishev [7]. However, they pertain to the existence of arbitrarily large zeros of solutions to hyperbolic equations with forcing terms.…”