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Positive Solutions of Nonlinear Singular Boundary Value Problem in Abstract Space

机译:抽象空间中非线性奇异边值问题的正解

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摘要

By constructing a particular closed convex set and applying the Monch fixed-point theorem, we study the existence of apositive solutions of singular boundary value problem X"(t) + f(t,x(t)) = 0, t∈(0,1), X(0) = x(1) = 0, in Banach space, singularities occuring at t = 0, 1, and x = θ. Our method is completely distinct from what the former literatures used even if we discuss the above problem in scalar space.
机译:通过构造一个特定的封闭凸集并应用Monch不动点定理,我们研究奇异边值问题X“(t)+ f(t,x(t))= 0,t∈(0)的正解的存在性,1),X(0)= x(1)= 0,在Banach空间中,奇点出现在t = 0、1和x =θ处。即使我们讨论了标量空间中的上述问题。

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