Positive Solutions for (k, n - k) Conjugate Multipoint Boundary Value Problems in Banach Spaces
نویسنده
چکیده
Bymeans of the fixed point index theory of strict-set contraction operator, we study the existence of positive solutions for the multipoint singular boundary value problem −1 n−ku n t f t, u t , 0 < t < 1, n ≥ 2, 1 ≤ k ≤ n−1, u 0 ∑m−2 i 1 aiu ξi , u i 0 u j 1 θ, 1 ≤ i ≤ k−1, 0 ≤ j ≤ n−k−1 in a real Banach space E, where θ is the zero element of E, 0 < ξ1 < ξ2 < · · · < ξm−2 < 1, ai ∈ 0, ∞ , i 1, 2, . . . , m − 2. As an application, we give two examples to demonstrate our results.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012