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EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUBLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM
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作者 Zhilong Li,Shujun Jiang(Dept. of Math.,Jiangxi University of Finance and Economics,Nanchang 330013) 《Annals of Differential Equations》 2011年第3期336-342,共7页
The existence of positive solutions to a singular sublinear semipositone Neumann boundary value problem is considered. In this paper,the nonlinearity term is not necessary to be bounded from below and the function q(t... The existence of positive solutions to a singular sublinear semipositone Neumann boundary value problem is considered. In this paper,the nonlinearity term is not necessary to be bounded from below and the function q(t) is allowed to be singular at t = 0 and t = 1. 展开更多
关键词 positive solutions singular neumann boundary value problem unbounded from below fixed point index theory
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POSITIVE SOLUTIONS TO A CLASS OF SECOND-ORDER SINGULAR SEMIPOSITIVE NEUMANN BOUNDARY VALUE PROBLEM WITH GENERAL FORM
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作者 Zhilong Li (Dept. of Math., Jiangxi University of Finance and Economics, Nanchang 330013) 《Annals of Differential Equations》 2010年第3期284-291,共8页
By constructing an explicit Green function and using the fixed point index theory on a cone, we present some existence results of positive solutions to a class of second-order singular semipositive Neumann boundary va... By constructing an explicit Green function and using the fixed point index theory on a cone, we present some existence results of positive solutions to a class of second-order singular semipositive Neumann boundary value problem, where the nonlinear term is allowed to be nonnegative and unbounded. 展开更多
关键词 fixed point index theory singular neumann boundary value problem positive solutions first positive eigenvalue
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POSITIVE SOLUTIONS OF SINGULAR SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM 被引量:6
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作者 Li Zhilong 《Annals of Differential Equations》 2005年第3期321-326,共6页
In this paper, we obtain the existence of positive solutions for singular second-order Neumann boundary value problem by using the fixed point indices, the result generalizes some present results.
关键词 fixed point index singular second-order neumann boundary value problem positive solutions
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