ISSN:
1573-2754
Keywords:
nonlinear differential equations of the fourth order
;
Lyapunov function
;
stability
;
boundedness
;
intrinsic method
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract In this paper, we first present constructing a Lyapunov function for (1.1) and then we show the asymptotic stability in the large of the trivial solution x=0 for case p≡0, and the boundedness result of the solutions of (1.1) for case p≠0. These results improve several well-known results.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00119951