The oscillation criteria for nonlinear neutral differential equations

• Autorzy: Bater J. , Min Y.
• Języki publikacji: EN

Abstrakty

EN

The problem of oscillation of a class of nonlinear neutral type integro-differential equations with distributed delay is discussed. The necessary and sufficient condition and another sufficient criterion for oscillation have been given.

Słowa kluczowe

EN

differential equations; distributed delay; oscillation criteria

PL

równania różniczkowe; kryteria oscylacyjne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 69--78
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Bater J.

• Computer Science Department, Inner Mongolia Normal University, Huhehaote 010022, P. R. China

autor

Min Y.

• Section of Mathematics, Inner Mongolia Agricultural University, Huhehaote, P. R. China

Bibliografia

• [1] J. Graf, M. Grammatikopoulas, P. Spikes, On the asymptotic behaviour of solutions of a second order nonlinear neutral delay differential equations, J. Math. Anal. Appl. 156 (1991), 23-39.
• [2] I. Györi, G. Ladas, Positive solutions of integro-differential equations with unbounded delay, J. Integral Equations Appl. 4(3) (1992), 377-390.
• [3] I. Györi, B. S. Lalli, E. Thandapanin, Oscillatory conditions for a stieltjes type neutral integro-differential equations, Differential Dynam. Systems 1(3) (1993), 245-256.
• [4] D. Bainov, V. Petrov, Necessary and sufficient conditions for oscillation of autonomous neutral differential equations with distributed delay, J. Math. Anal. Appl. 182(1) (1994), 202-220.
• [5] D. Bainov, Asymptotic properties of the nonoscillatory solutions of second-order neutral equations with a deviating argument, J. Math. Anal. Appl. 190(3) (1995), 645-653.
• [6] B. C. Guo, Oscillate of a neutral functional differential equations, Acta Math. Appl. Sinica 19(4) (1996), 513-522.
• [7] H. A. Agwo, Oscillation of first order delay differential equations with variable coefficients, Riv. Mat. Univ. Parma 6(2) (1999), 183-197.
• [8] F. M. Kandil, Y. S. Ahmed, Necessary and sufficient conditions for oscillations of neutral equations with several coefficients, Far East J. Math. Sci. 2(3) (2000), 417-424.
• [9] N. Parhi, R. N. Rath, Oscillation criteria for first order neutral differential equations with variable coefficients, J. Math. Anal. Appl. 256(2) (2001), 525-541.
• [10] F. Riesz, B. Sz-Nagy, Lecons d’analyse fonctionelle, Akademiai Kiado, Budapest, 1953.