Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
نویسنده
چکیده
In this paper, we prove existence results for singular problem( x(t) + f(t, x(t), . . . , x(n−2)(t)) = 0, 0 < t < 1, x(0) = 0, 0 ≤ i ≤ n− 2, x(n−2)(1) = R 1 0 x (n−2)(s)dg(s). Here the positive Carathédory function f may be singular at the zero value of all its phase variables. Proofs are based on the Leray-Schauder degree and Vitali’s convergence theorem.
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تاریخ انتشار 2006