Forced oscillation of solutions of certain hyperbolic equations of neutral type. (English) Zbl 0866.35130
Authors’ abstract: “Some oscillation properties of solutions of certain hyperbolic equations of neutral type are studied and sufficient conditions for the oscillation of the solutions of a boundary value problem in a cylindrical domain are given”.
Reviewer: W.M.Oliva (Lisboa)
MSC:
| 35R10 | Partial functional-differential equations |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
Keywords:
hyperbolic differential equation; deviating argument; sufficient conditions for the oscillationReferences:
| [1] | Baotong, C., Oscillation properties for parabolic equations of neutral type, Comment. Math. Univ. Carolinae, 33, 581-588 (1992) · Zbl 0796.35166 |
| [2] | Baotong, C., Oscillation theorems of nonlinear parabolic equations of neutral type, Math. J. Toyama Univ., 14, 113-123 (1991) · Zbl 0788.35069 |
| [3] | Mishev, D. P.; Bainov, D. D., Oscillation of the solutions of parabolic differential equations of neutral type, Appl. Math. Comput., 28, 97-111 (1988) · Zbl 0673.35037 |
| [4] | Mishev, D. P.; Bainov, D. D., Oscillation properties of the solutions of a class of hyperbolic equations of neutral type, Funkcial. Ekvac., 29, 213-218 (1986) · Zbl 0651.35052 |
| [5] | Yoshida, N., Forced oscillations of solutions of parabolic equations, Bull. Austral. Math. Soc., 36, 289-294 (1987) · Zbl 0618.35065 |
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