We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
β¦ LIBER β¦
Topological degree and symmetric families of periodic solutions of nondissipative second-order systems
β Scribed by A.C Lazer
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 351 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0022-0396
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## Abstract In this paper, we employ a wellβknown fixed point theorem for cones to study the existence of positive periodic solutions to the __n__ βdimensional system __x__ β³ + __A__ (__t__)__x__ = __H__ (__t__)__G__ (__x__). Moreover, the eigenvalue intervals for __x__ β³ + __A__ (__t__)__x__ = __Ξ»