## Abstract In this paper, we employ a wellโknown fixed point theorem for cones to study the existence of positive periodic solutions to the __n__ โdimensional system __x__ โณ + __A__ (__t__)__x__ = __H__ (__t__)__G__ (__x__). Moreover, the eigenvalue intervals for __x__ โณ + __A__ (__t__)__x__ = __ฮป
On the existence of positive periodic solutions of systems of second order differential equations
โ Scribed by Xiong Li; Ziheng Zhang
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 117 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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โฆ Synopsis
Abstract
In this paper, we establish several criteria for the existence, multiplicity, nonexistence of positive periodic solutions of the following system
by combining some new properties of Green's function together with Krasnosel'skฤญ fixed point theorem on the compression and expression of cones. ยฉ 2011 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim
๐ SIMILAR VOLUMES
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne
In this paper we shall study the existence of a periodic solution to the nonlinear ลฝ . ลฝ ลฝ .. differential equation x q Ax y A\*x y A\*Ax q B t x q f t, x t s 0 in some complex Hilbert space, using duality and variational methods.