The existence of positive solution and bounded oscillation for even-order neutral differential equations with unstable type

Applied Mathematics and Computation

Volumn 176, Issue 2, 2006, Pages 632-641

  Li, Xiaoping ^a   Liu, Yuehua ^a   Zhou, Tiejun ^a  

^a HUNAN AGRICULTURAL UNIVERSITY   (China)

Author keywords

Bounded oscillation; Neutral differential equation; Unbounded solution

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; OSCILLATIONS; PROBLEM SOLVING; THEOREM PROVING;

BOUNDED OSCILLATIONS; NEUTRAL DIFFERENTIAL EQUATION; NONOSCILLATION CRITERIA; UNBOUNDED SOLUTIONS;

COMPUTATIONAL METHODS;

EID: 33646378893     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.10.008     Document Type: Article

References (11)

1. Gyori I., and Ladas G. Oscillation Theory for Delay Differential Equations with Applications (1991), Clarendon Press, Oxford
2. Erbe L.H., Kong Q., and Zhang B.G. Oscillation Theory for Functional Differential Equations (1995), Dekker, New York
3. Ladas G., and Qian C. Linearized oscillations for even-order neutral differential equations. J. Math. Anal. Appl. 159 (1991) 237-250
4. Chen M.P., Yu J.S., and Zhang B.G. The existence of positive solutions for even order neutral differential equations. Panamer. Math. J. 3 (1993) 61-77
5. Wang X.P. Oscillation for higher order superlinear delay differential equations with unstable type. J. Math. Anal. Appl. 289 (2004) 379-386
6. Tang X.H. Oscillation for first order nonlinear delay differential equations. J. Math. Anal. Appl. 264 (2001) 510-521
7. Tang X.H. Oscillation for first order superlinear delay differential equations. J. London Math. Soc. 65 (2002) 115-122
8. Yu J.S., and Zhang B.G. The existence of positive solutions for second order neutral differential equations with unstable type. Syst. Sci. Math. Sci. 16 (1996) 92-96 (in Chinese)
9. Zhang B.G., and Yu J.S. On the existence of asymptotically decaying positive solutions of second order neutral differential equations. J. Math. Anal. Appl. 166 (1992) 1-11
10. Hale J.K. Theory of Functional Differential Equations (1997), Springer-Verlag, New York
11. Driver R.D. Existence and continuous dependence of solutions of a neutral functional differential equations. Arch. Ration. Mech. Anal. 19 (1965) 149-166