바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

A REFINEMENT OF LYAPUNOV-TYPE INEQUALITY FOR A CLASS OF NONLINEAR SYSTEMS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.329-336
https://doi.org/10.7468/jksmeb.2011.18.4.329
Kim, Yong-In

Abstract

Some new Lyapunov-type inequalities for a class of nonlinear differential systems, which are natural refinements and generalizations of the well-known Lyapunov inequality for linear second order differential equations, are given. The results of this paper cover some previous results on this topic.

keywords
Lyapunov-type inequality, nonlinear differential system

Reference

1.

(1896). . C. R. Math. Acad. Sci., 123, 1248-1252.

2.

(1991). . Fasc. Math., 23, 25-41.

3.

(1970). . J. London Math. Soc., 3, 461-466.

4.

(2003). . Comp. Math. Appl., 45, 1399-1416. 10.1016/S0898-1221(03)00095-6.

5.

6.

(2004). . Appl. Math. Lett., 17, 847-853. 10.1016/j.aml.2004.06.016.

7.

(1972). . Proc. Amer. Math. Soc., 33, 627-628.

8.

9.

(2007). . J. Math. Anal. Appl., 332, 497-511. 10.1016/j.jmaa.2006.10.010.

10.

(1995). . J. Math. Anal. Appl., 195, 527-536. 10.1006/jmaa.1995.1372.

11.

(0000). . J. Math. Anal. Appl., .

12.

(2003). . Appl.Math. Computation., 134, 293-300. 10.1016/S0096-3003(01)00283-1.

13.

(2010). . Appl. Math. Computation, 245, 3884-3890.

14.

(2010). . J. Comput. Appl. Math., 234, 2962-2969. 10.1016/j.cam.2010.04.008.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics