Linearized oscillations for higher order neutral differential equations

Proceedings - Mathematical Sciences - Tập 106 - Trang 169-176 - 1996
N. Parhi1
1Department of Mathematics, Berhampur University, Berhampur, India

Tóm tắt

In this paper, the oscillation of certain nonlinear neutral differential equations has been studied with the help of the oscillation of associated linear neutral differential equations

Tài liệu tham khảo

Arino O and Gyori I, Necessary and sufficient conditions for oscillation of neutral differential systems with several delays,J. Differ. Eq. 81 (1989) 98–105 Gopalsamy K, Oscillatory properties of systems of first-order linear delay differential inequalities,Pac. J. Math. 128 (1987) 299–305 Gopalsamy K, Oscillations in Lotka-Volterra systems with several delays,J. Math. Anal. Appl. 159 (1991) 440–448 Gopalsamy Ket al., Oscillations of a system of delay logistic equations,J. Math. Anal. Appl. 146 (1990) 192–202 Kowalski K and Steeb W H,Nonlinear Dynamical Systems and Carleman Linearization (Singapore: World Scientific) (1991) Ladas G and Qian C, Linearized oscillations for odd-order neutral delay differential equations,J. Differ. Equ. 88 (1990) 238–247 Ladas G and Qian C, Linearized oscillations for even-order neutral differential equations,J. Math. Anal. Appl. 159 (1991) 237–250 Ruan S, Oscillations for first order neutral differential equations with variable coefficients,Bull. Aust. Math. Soc. 43 (1991) 147–152