On the asymptotic behavior of solutions of impulsively damped nonlinear oscillator equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:71

Article

Graef, JR ; Karsai, J

关键词: asymptotic behavior;    damped equation;    impulses;    nonlinear equation;    oscillator equation;   

DOI  :  10.1016/0377-0427(95)00215-4

来源: Elsevier

【 摘 要 】

Intermittently damped oscillator equations are important both in practice and attractivity investigations. The problem of attractivity appears clearly if the damping is concentrated into discrete points. In this paper we investigate the asymptotic behavior of the impulsive equation x double over dot + f(x) = 0 (t not equal t(n)) x over dot (t(n) + 0) = b(n) x over dot (t(n)) (t = t(n)) (n = 1, 2,...). We find an analogy, but not strict correspondence, to the attractivity results for distributed damping. The attractivity properties mainly depend on the properties of f(x).

【 授权许可】

Free