Oscillation criteria for a class of functional parabolic equations

• Autorzy: Kusano T. , Yoshida N.
• Języki publikacji: EN

Abstrakty

EN

Oscillations of parabolic equations with functional arguments are studied, and sufficient conditions are derived for all solutions of certain boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multidimensional problems to one-dimensional problems for functional differential inequalities.

Słowa kluczowe

EN

oscillation; parabolic equations; functional arguments

PL

oscylacja; równania paraboliczne; argumenty funkcjonalne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1999
• Tom: Vol. 5, nr 1
• Strony: 1--16
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kusano T.

• Department of Applied Mathematics Faculty of Science Fukuoka University Fukuoka 814-0180 Japan

autor

Yoshida N.

• Department of Mathematics Faculty of Science Toyama University Toyama 930-8555 Japan

Bibliografia

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• [3] Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol. I, Interscience, New York, 1966.
• [4] Cui, B.T., Oscillation theorems of nonlinear parabolic equations of neutral type, Math. J. Toyama Univ. 14 (1991), 113-123.
• [5] Mishev, D.P., Oscillation of the solutions of hyperbolic differential equations of neutral type with “maxima”, Godishnik Vissh. Uchebn. Zaved. Prilozhna Mat. 25 (1989), 9-18.
• [6] Mishev, D.P. and Bainov, D.D., Oscillation of the solutions of parabolic differential equations of neutral type, Appl. Math. Comput. 28 (1988),
• [7] Okikiolu, G.O., Aspects of the Theory of Bounded Integral Operators in Lp- spaces, Academic Press, New York, 1971.
• [8] Tanaka, S. and Yoshida, N., Oscillations of solutions to parabolic equations with deviating arguments, Tamkang J. Math. 28 (1997), 169-181.
• [9] Yoshida, N., On the oscillation of solutions to parabolic equations with functional arguments, Math. J. Toyama Univ. 18 (1995), 65-78.
• [10] Yoshida, N., Forced oscillations of nonlinear parabolic equations with functional arguments, Analysis 15 (1995), 71-84.