𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A homotopy index continuation method and periodic solutions of second-order gradient systems

✍ Scribed by Krzysztof P Rybakowski


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
746 KB
Volume
65
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Periodic Solutions of a Class of Non-aut
✍ Xing-Ping Wu; Chun-Lei Tang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 73 KB

Some existence theorems are obtained by the least action principle for periodic solutions of nonautonomous second-order systems with a potential which is the sum of a subconvex function and a subquadratic function.

Convergence of Solutions of Second-Order
✍ A. Haraux; M.A. Jendoubi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 195 KB

We consider the second-order gradient-like system where F : R N Γ„ R is analytic and g: R N Γ„ R N is Lipschitz and coercive with g(0)=0. We prove the convergence of global and bounded solutions of (1) to some equilibrium points.

Positive periodic solutions and eigenval
✍ Jifeng Chu; Hao Chen; Donal O'Regan πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 117 KB

## Abstract In this paper, we employ a well‐known fixed point theorem for cones to study the existence of positive periodic solutions to the __n__ ‐dimensional system __x__ β€³ + __A__ (__t__)__x__ = __H__ (__t__)__G__ (__x__). Moreover, the eigenvalue intervals for __x__ β€³ + __A__ (__t__)__x__ = __Ξ»