Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations

• Autorzy: Wantong Li
• Języki publikacji: EN

Abstrakty

EN

A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.

Słowa kluczowe

EN

oscillation; neutral nonlinear differential equation; asymptotic behavior

Kategorie tematyczne

• 34C15: Nonlinear oscillations, coupled oscillators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 283-302

Daty

wydano

1997

otrzymano

1996-06-19

Twórcy

autor

Wantong Li

• Department of Mathematics, Zhangye Teachers' College, Zhangye, Gansu 734000, P.R. China

Bibliografia

• [1] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
• [2] H. J. Li and W. L. Liu, Oscillations of second order neutral differential equations, Math. Comput. Modelling 22 (1995), 45-53.
• [3] H. J. Li and W. L. Liu, Oscillation criteria for second order neutral differential equations, preprint.
• [4] W. D. Lu, Existence and asymptotic behavior of nonoscillatory solutions of second order nonlinear neutral equations, Acta Math. Sinica 36 (1993), 476-484.
• [5] J. Ruan, Types and criteria of nonoscillatory solutions of second order linear neutral differential equations, Chinese Ann. Math. Ser. A 8 (1987), 114-124.