On Oscillation and Nonoscillation of a Second Order Half-Linear Equation

Georgian Mathematical Journal

Volumn 7, Issue 2, 2000, Pages 329-346

  Kandelaki, N ^a   Ugulava, D ^a   Lomtatidze, A ^b  

^a INSTITUTE OF PHYSICS   (Georgia)

^b MASARYK UNIVERSITY   (Czech Republic)

Author keywords

Half linear equation; Nonoscillation; Oscillation

Indexed keywords

EID: 3042567792     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2000.329     Document Type: Article

References (13)

1. P. Hartman, Ordinary differential equations. John Wiley & Sons, Inc., New York-London-Sydney, 1964.
2. J. D. Mirzov, On some analogs of Sturm's and Kneser's theorems. J. Math. Anal. Appl. 53(1976), No. 2, 418-425.
3. J. D. Mirzov, On the oscillation of solutions of a system of differential equations. (Russian) Mat. Zarnetki 23(1978), No. 3, 401-404.
4. Á. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations. Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl., 1982, 187-212.
5. Á. Elbert Lecture Notes in Math. 956, 1982.
6. M. Del Pino and R. Manasevich, Oscillation and nonoscillation for [formula omitted] 1. Houston J. Math. 14(1988), No. 2, 173-177.
7. M. Del Pino, M. Elgueta, and R. Manasevich, Generalizing Hartman's oscillation result for [formula omitted] 1. Houston J. Math. 17(1991), No. 1, 63-70.
8. J. D. Mirzov, Asymptotic properties of solutions of systems of nonlinear nonautonomous ordinary differential equations. (Russian) Adigeya Publ. House, Maikop, 1993.
9. T. Kusano, Y. Naito, and A. Ogata, Strong oscillation and nonoscillation of quasilinear differential equations of second order. Differential Equations Dynam. Systems 2(1994), No. 1, 1-10.
10. H. J. Li and C. C. Yeh, Sturmian comparison theorem for half-linear second order differential equations. Proc. Royal Soc. Edinburgh 125A(1996), 1193-1204.
11. A. Lomtatidze, Oscillation and nonoscillation of Emden-Fowler type equation of second order. Arch. Math. 32(1996), No. 3, 181-193.
12. O. Došlý, Oscillation criteria for half-linear second order differential equations. Hiroshima, J. Math. 28(1998), 507-521.
13. T. Chantladze, N. kandelaki, and A. Lomtatidze, On zeros of solutions of a second order singular half-linear equation. Mem. Differential Equations Math. Phys. 17(1999), 127-154.