Oscillation criteria for second order neutral differential equations

Canadian Journal of Mathematics

Volumn 48, Issue 4, 1996, Pages 871-886

  Li, Horng Jaan ^a   Liu, Wei Ling ^a  

^a CHINA UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Generalized Riccati transformation; Neutral delay differential equation; Oscillation

Indexed keywords

EID: 0030505942     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1996-044-6     Document Type: Article

References (15)

1. S. R. Grace and B. S. Lalli, Oscillations of nonlinear second order neutral delay differential equations, Rat. Mat. 3(1987), 77-84.
2. M. K. Grammatikopoulos, G. Ladas and A. Meimaridou, Oscillations of second order neutral delay differential equations, Rat. Mat. 1(1985), 267-274.
3. J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, (1977).
4. P. Hartman, On nonoscillatory linear differential equations of second order, Amer. J. Math. 74(1952), 389-400
5. I. V. Kamenev, Integral criterion for oscillation of linear differential equations of second order, Mat. Zametki (1978), 249-251.
6. W. Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke Math. J. 17(1950), 57-61.
7. R. A. Moore, The behavior of solutions of a linear differential equation of second order, Pacific J. Math. 5(1955), 125-145.
8. S. Ruan, Oscillations of second order neutral differential equations, Canad. Math. Bull. 36(1993), 485-496.
9. Ch. G. Philos, Oscillation theorems for linear differential equations of second order, Arch. Math. 53(1989), 482-492.
10. C. C. Travis, Oscillation theorems for second order differential equations with functional arguments, Proc. Amer. Math. Soc. 31(1972), 199-202.
11. P. Waltman, A note on an oscillation criterion for an equation with a function argument, Canad. Math. Bull. 11(1968), 593-595.
12. A. Wintner, A criterion of oscillatory stability, Quart. Appl. Math. 7(1949), 115-117.
13. J. S. Wong, An oscillation criterion for second order nonlinear differential equations with iterated integral averages, Differential Integral Equations 6(1993), 83-91.
14. J. Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98(1986), 276-282.
15. Y. H. Yu, Leighton type oscillation criterion and Sturm type comparison theorem, Math. Nachr. 153(1991), 485-496.