Positive solutions of higher-order singular boundary value problems |
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Authors: | Yujun Cui |
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Affiliation: | 1. Department of Mathematics, Shandong University of Science and Technology, Qingdao, 266510, People’s Republic of China
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Abstract: | Some results of existence of positive solutions for singular boundary value problem $$left{begin{array}{l}displaystyle (-1)^{m}u^{(2m)}(t)=p(t)f(u(t)),quad tin(0,1),[2mm]displaystyle u^{(i)}(0)=u^{(i)}(1)=0,quad i=0,ldots,m-1,end{array}right.$$ are given, where the function p(t) may be singular at t=0,1. Our analysis relies on the variational method. |
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