In this paper, we consider the boundary value problem on the half-line where k : [0, β) β (0, β) and f : [0, β) Γ [0, β) β R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.
β¦ LIBER β¦
Calculus of variations for a boundary value problem of differential system on the half line
β Scribed by Hairong Lian; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 401 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Boundary value problem of second-order differential equations on the half line is investigated in this paper. The method mainly depends on the calculus of variations to the classical functionals. Sufficient conditions are obtained for the existence of the solutions.
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