Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

[摘要] We establish the existence and uniqueness of a positive solution u for the fractional boundary value problem Dαu(x)=-a(x)uσ(x), x∈(0,1) with the condition limx→0Dα-1u(x)=0,  u(1)=0, where 1<α≤2, σ∈(-1,1), and a is a nonnegative continuous function on (0,1) that may be singular at x=0 or x=1.

[发布日期] 2013-12-31