Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
نویسندگان
چکیده
منابع مشابه
Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
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 s...
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In this article, we investigate the fourth-order four-point nonhomogeneous Sturm-Liouville boundary-value problem u(t) = f(t, u(t)), t ∈ [0, 1], αu(0)− βu′(0) = γu(1) + δu′(1) = 0, au(ξ1)− bu(ξ1) = −λ, cu(ξ2) + du(ξ2) = −μ, where 0 ≤ ξ1 < ξ2 ≤ 1 and λ and μ are nonnegative parameters. We obtain sufficient conditions for the existence and uniqueness of positive solutions. The dependence of the s...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2010
ISSN: 1687-2770
DOI: 10.1155/2010/106962