On the oscillation of certain advanced functional differential equations using comparison methods

• Autorzy: Agarwal R. P. , Grace S. R. , O'Regan D.
• Języki publikacji: EN

Abstrakty

EN

Some new criteria for the oscillation of advanced functional differential equations of the form are presented in this paper. A discussion of neutral equations will also be included.

Słowa kluczowe

EN

oscillation; nonoscillation; advanced functional differential equation; comparison method

PL

równanie różniczkowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 35
• Strony: 5--22
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Agarwal R. P.

• Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

autor

Grace S. R.

• Department of Engineering Mathematics Faculty of Engineering, Cairo University Orman, Giza 12221

autor

O'Regan D.

• Department of Mathematics National University of Ireland Galway, Ireland

Bibliografia

• [1] R.P. Agarwal, S.R. Grace, Oscillation of certain functional differential equations, Computers Math. Applic,, 38(1999), 143-153.
• [2] R.P. Agarwal, S.R. Grace, ,, On the oscillation of higher order differential equations with deviating arguments. Computers Math. Applic.. 38(1999), 185-199
• [3] R.P. Agarwal, S.R. Grace, Oscillations of forced functional differential equations generated by advanced arguments, Aequationes Mathematicae, 63(2002), 26-45.
• [4] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrecht, 2000.
• [5] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations, Kluwer, Dordrecht, 2002.
• [6] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Second Order Dynamic Equations, Taylor & Francis, U.K., 2003.
• [7] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation criteria for certain n-th order differential equations withdeviating arguments, J. Math, Anal. AppL, 262(2001), 601-622.
• [8] Y. Kitamura, Oscillation of functional differential equations with general deviating arguments, Hiroshima Math. J., 15(1985), 445-491.
• [9] T. Kusano, B.S. Lalli, On oscillation of half-linear functional differential equations with deviating arguments, Hiroshima Math. J., 24(1994), 549-563.
• [10] W.E. Mahfoud, Oscillation and asymptotic behavior of solutions of N-th order nonlinear delay differential equations, J. Differential Equations, 24(1977), 75-98.
• [11] J. Werbowski, Oscillation of first order differential inequalities with deviating arguments, Ann. Mat. Pura. Appl, 140(1985), 383-392.
• [12] J. Werbowski, Oscillations of differential equations generated by advanced arguments, Funckcialaj Ekvac., 30(1987), 69-79.