Oscillation of parabolic delay differential equations

• Autorzy: Kubiaczyk I. , Saker S. H.
• Języki publikacji: EN

Abstrakty

EN

Some new sufficient conditions for oscillation of all solutions of parabolic delay differential equations with several positive and negative coefficients are obtained. Our results extend and improve the well known results in the literature.

Słowa kluczowe

EN

oscillation; parabolic equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 791--802
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kubiaczyk I.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

autor

Saker S. H.

• Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

Bibliografia

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• [3] X. L. Fu and L. Q. Zhang, Forced oscillation of solutions of parabolic equations, J. Partial Diff. Eqs. 8 (1995), 82-88.
• [4] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford, 1991.
• [5] K. Kreith and G. Ladas, Allowable delays for positive diffusion processes, Hiroshima Math. J . 15 (1985), 437-443.
• [6] T. Kusano and N. Yoshida, Oscillation of parabolic equations with oscillating coefficients, Hiroshima Math. J . 24 (1994), 123-133.
• [7] N. Yoshida, Oscillation of nonlinear parabolic equations with functional arguments, Hiroshima Math. J . 16 (1986), 305-314.
• [8] N. Yoshida, Forced oscillation certain nonlinear delay pambolic equations, Bull. Austral. Math. Soc. 36 (1987), 289-294.
• [9] S. L. Xie and S. S. Chen, Oscillation of a logistic equation with delay and diffusion, Anal. Polon. Math. LXII.3 (1995), 219-230.
• [10] V. S. Vladimirov, Equations of Mathematical Physics, Nauka, Moscow, 1981.