Asymptotic properties of the third order delay differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 26, Issue 1, 1996, Pages 33-39

  Džurina, Jozef ^a  

^a P J AFÁRIK UNIVERSITY   (Slovakia)

Author keywords

Comparison theorem; Property (A)

Indexed keywords

EID: 0347158423     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00239-E     Document Type: Article

References (10)

1. ERBE L., Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations, Pacif. J. Math. 64, 369-385 (1976).
2. JONES G. D., An asymptotic property of solutions y‴ + p(x)y′ + q(x)y = 0, Pacif. J. Math. 47, 135-138 (1973).
3. LAZER A. C., The behavior of solutions of the differential equation y‴ + p(x)y′ + q(x)y = 0, Pacif. J. Math. 17, 435-466 (1966).
4. ŠKERLÍK A., Oscillatory criteria for the third order linear differential equations, Math. Slovaca (to appear).
5. TRENCH W. F., Canonical forms and principal systems for general disconjugate equations, Trans. Am. math. Soc. 189, 319-327 (1974).
6. KUSANO T., NAITO M. & TANAKA K., Oscilltory and asymptotic behavior of solutions of a class of linear ordinary differential equations, Proc. R. Soc. Edinb. 90, 25-40 (1981).
7. KUSANO T. & NAITO M., Comparison theorems for functional differential equations with deviating arguments, J. math. Soc. Japan 3, 509-532 (1981).
8. CHANTURIA T. A. & KIGURADZE I. T., Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Nauka, Moscow (1990). (In Russian.)
9. HARTMAN P., Ordinary Differential Equations. John Wiley & Sons, New York (1964).
10. TRENCH W. F., Eventual disconjugacy of linear differential equation, Proc. Am. math. Soc. 83, 461-466 (1983).