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. ᮊ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne
✦ LIBER ✦
Positive Homoclinic Solutions for a Class of Second Order Differential Equations
✍ Scribed by Maria do Rosário Grossinho; Feliz Minhós; Stepan Tersian
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 85 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-247X
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## 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__ ″ + __A__ (__t__)__x__ = __H__ (__t__)__G__ (__x__). Moreover, the eigenvalue intervals for __x__ ″ + __A__ (__t__)__x__ = __λ
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Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.