Abstract
In this paper we consider some nonlinear parabolic partial differential equations with distributed deviating arguments and establish sufficient conditions for the oscillation of some boundary value problems.
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References
D. Georgiou and K. Kreith,Functional characteristic intial value problems, J.Math.Anal.Appl., 107(1985), 414–424.
Ya.V.Bykov and T.Ch.Kultaev,Oscillation of solutions of a class of parabolic equations, Izv.Akad.Nauk Kirgiz. SSR,6(1983), 3–9.(in Russian)
Xilin Fu and Wan Zhuang,Oscillation of certain neutral delay parabolic equations, J.Math.Anal.Appl. 191(1995), 473–489.
N. Yoshida,Oscillation of nonlinear parabolic equation with functional arguments, Hiroshima Math. J. 16(1986), 305–314.
A.I.Zahariev, D.D.Bainov,Oscillation properties of the solutions of a class of neutral type functional differential equations, Bull.Austral. Math.Soc., Vol.22, No.3(1980), 365 - 372.
Yuanhong Yu and Xilin Fu,Asymptotic and oscillatory behaviors of solutions of the 1st order nonlinear neutral differential equations with several delay arguments, Acta.Math.Sci., Vol.13, No.3(1993), 316–322.
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The Project Supported by National Natural Science Foundation of China(19771054).
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Zhang, L., Fu, X. Oscillations of certain nonlinear delay parabolic boundary value problems. Korean J. Comput. & Appl. Math. 8, 137–149 (2001). https://doi.org/10.1007/BF03011628
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DOI: https://doi.org/10.1007/BF03011628