Positive solutions and conjugate points for systems of differential equations
β Scribed by K. Schmitt; H.L. Smith
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 788 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
This paper is concerned with boundary value problems for systems of nonlinear thirdorder three-point differential equations. Using fixed-point theorems, the existence of positive solutions is obtained.
## 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»
This paper is devoted to the study of multiple and single positive solutions of two-point boundary value problems for nonlinear second-order singular and impulsive differential systems. By constructing a cone K 1 Γ K 2 , which is the Cartesian product of two cones in the space C[0, 1], and computing