Oscillation of parabolic delay differential equations with positive and negative coefficients

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

Abstrakty

EN

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

Słowa kluczowe

EN

oscillation theorems; parabolic differential equations

• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(2)
• Strony: 221-236
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Kubiaczyk, I.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland,

autor

Saker, S.H.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland,
• Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

Bibliografia

• [1] V. Bykov and T. Ch. Kultaev, Oscillation of solutions of a class of parabolic equations, Izv. Akad. Nauk, Kirgiz, SSR. 6 (1983), 3-9.
• [2] E. M. Elabbasy, A. S. Hegazi and S. H. Saker, Oscillation of solutions to delay differential equations with positive and negative coefficients, Electronic Journal of Differential Equations 13 (2000), 1-13.
• [3] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford, (1991).
• [4] V. Kreith and G. Ladas, Allowable delays for positive diffusion processes, Hiroshima Math. J. 15 (1985), 437-443.
• [5] T. Kusano and N. Yoshida, Oscillation of parabolic equations with oscillating coefficients, Hiroshima Math. J. 24 (1994), 123-133.
• [6] N. Yoshida, Oscillation of nonlinear parabolic equations with functional arguments, Hiroshima Math. J. 16 (1986), 305-314.
• [7] N. Yoshida, Forced oscillation certain nonlinear delay parabolic equations, Bull. Austral. Math. Soc. 36 (1987), 289-294.
• [8] S. L. Xie and S. S. Chen, Oscillation of a logistic equation with delay and diffusion, Anal. Polon. Math. 62 (1995), 219-230.
• [9] V. S. Vladimirov, Equations of Mathematical Physics, Nauka, Moscow, (1981).