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Oscillation of parabolic equations of neutral type. (English) Zbl 0977.45008

The authors prove some sufficient conditions for oscillation concerning a class of neutral parabolic equations subjected either to Neumann or Dirichlet boundary conditions.

MSC:

45K05 Integro-partial differential equations
45G10 Other nonlinear integral equations
45M15 Periodic solutions of integral equations
Full Text: DOI

References:

[1] Bykov, V.; Kultaev, T. Ch., Oscillation of solutions of a class of parabolic equations, Izv. Akad. Nauk. Kirgiz. SSR., 6, 3-9 (1983) · Zbl 0578.35035
[2] Fu, X. L., Oscillations of a class of parabolic partial differential equations, Acta Math. Sinica, 13, 2, 229-240 (1993) · Zbl 0807.35148
[3] Fu, X. L.; Liu, X. Z., Oscillation criteria for a class of nonlinear neutral parabolic partial differential equations, Appl. Anal., 58, 215-228 (1995) · Zbl 0833.35006
[4] Fu, X. L.; Zhang, W., Oscillation of certain neutral delay parabolic equations, J. Math. Anal. Appl., 191, 473-489 (1995) · Zbl 0829.34057
[5] Lin, S. Z.; Yu, Y. H., On the oscillations solutions of parabolic differential equations of neutral type, Demonstratio Mathematica, 3, 603-614 (1996) · Zbl 0907.35135
[6] Mishiev, D. P.; Bainov, D. D., Oscillation of the solution of parabolic differential equations of neutral type, Appl. Math. Comput., 28, 97-111 (1988) · Zbl 0673.35037
[8] Yoshida, N., Oscillation of nonlinear parabolic equations with functional arguments, Hiroshima Math. J., 16, 305-314 (1986) · Zbl 0614.35048
[9] Zahariev, A. I.; Bainov, D. D., Oscillating properties of the solutions of a class of neutral type functional differential equations, Bull. Austral. Math. Soc., 22, 3, 365-372 (1980) · Zbl 0465.34042
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