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Calculus of variations for a boundary value problem of differential system on the half line

✍ 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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✦ 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.


πŸ“œ SIMILAR VOLUMES


Existence of positive solutions for a se
✍ Ruyun Ma; Bao Zhu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 749 KB

In this paper, we consider the boundary value problem on the half-line where k : [0, ∞) β†’ (0, ∞) and f : [0, ∞) Γ— [0, ∞) β†’ R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.

On Positive Solutions of Boundary Value
✍ MirosΕ‚awa Zima πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

We study the existence of positive solutions of boundary value problems on the half-line for differential equations of second order. The Krasnoselskii fixed point theorem on cone compression and expansion is used.