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- Title
Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs.
- Authors
Jian-Ping Sun; Xiao-Yun Wang
- Abstract
We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: u(4) = f(t, u), t ∈ [0, 1], αu(0) - βu'(0) = λ1, γu(1) + δu'(1) =λ2, au"(ξ1) - bu"'(ξ1) = λ3, cu"(ξ2) + du"' (ξ2) = - λ4, where 0 ≤ ξ1 ≤ ξ2 ≤ 1 and λi (i = 1, 2, 3, 4) are nonnegative parameters. Some sufficient conditions are given for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters λi = (i = 1, 2, 3, 4) is also studied.
- Subjects
NUMERICAL solutions to boundary value problems; NUMERICAL solutions to Sturm-Liouville equations; PARAMETER estimation; DEPENDENCE (Statistics); LAMBDA calculus; MATHEMATICAL analysis; MATHEMATICS
- Publication
Boundary Value Problems, 2010, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1155/2010/106962