We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Some Existence Results of Positive Solution to Second-Order Boundary Value Problems.
- Authors
Shuhong Li; Xiaoping Zhang; Yongping Sun
- Abstract
We study the existence of positive and monotone solution to the boundary value problem un(t) + f(t, u(t)) = 0, 0 ≤ t ≤ 1, u(0) = ξu(1), u'(1) = ηu'(0), where ξ, η ∈ (0, 1) ∪ (1, ∞). The main tool is the fixed point theorem of cone expansion and compression of functional type by Avery, Henderson, and O'Regan. Finally, four examples are provided to demonstrate the availability of our main results.
- Subjects
FIXED point theory; FUNCTIONAL calculus; DIFFERENTIAL equations; MONOTONE operators; BOUNDARY value problems; COINCIDENCE theory
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/516452