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Article

Cui, Bao Tong
Oscillation properties for parabolic equations of neutral type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 581-588
MSC: 35B05, 35K10, 35K20, 35R10 | MR 1240178 | Zbl 0796.35166
Keywords:
partial differential equation; deviating argument; boundary problem; oscillation
Summary:
The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.
References:
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[2] Mishev D.P., Bainov D.D.: Oscillation properties of the solutions of a class of hyperbolic equations of neutral type. Funkc. Ekvac. 29 (1986), 213-218. MR 0877430 | Zbl 0651.35052
[3] Yoshida N.: Forced oscillations of solutions of parabolic equations. Bull. Austral. Math. Soc. 36 (1987), 289-294. MR 0909776 | Zbl 0618.35065
[4] Georgiou D., Kreith K.: Functional characteristic initial value problems. J. Math. Anal. Appl. 107 (1985), 414-424. MR 0787724 | Zbl 0585.35067
[5] Cui Baotong: Oscillation theorems of nonlinear parabolic equations of neutral type. Math. J. Toyama Univ. 14 (1991), 113-123. MR 1145145 | Zbl 0788.35069
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