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Positive solutions of second-order non-local boundary value problem with singularities in space variables

机译:空间变量具有奇异性的二阶非局部边值问题的正解

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We discuss a non-local boundary value problem of second-order, where the involved nonlinearity depends on the derivative and may be singular. The boundary conditions are given by Riemann-Stieltjes integrals. We establish sufficient conditions for the existence of positive solutions of the considered problem. Our approach is based on the Krasnoselskii-Guo fixed point theorem on cone expansion and compression. MSC:34B10, 34B16, 34B18.
机译:我们讨论了一个二阶非局部边值问题,其中涉及的非线性取决于导数,并且可能是奇异的。边界条件由Riemann-Stieltjes积分给出。我们为考虑问题的正解的存在建立了充分的条件。我们的方法基于关于圆锥展开和压缩的Krasnoselskii-Guo不动点定理。 MSC:34B10、34B16、34B18。

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