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系统科学与数学 2010
POSITIVE SOLUTIONS FOR A CLASS OF 2nTH-ORDER SINGULAR SUBLINEAR BOUNDARY VALUE PROBLEMS
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Abstract:
This paper investigates the existence to positive solutions of singular boundary value problems for a class of $2n$th order ($n>1$) sublinear differential equations. A necessary and sufficient condition as well as uniqueness for theexistence of $C^{2n-2}0,1]$ positive solutions and $C^{2n-1}0,1]$positive solutions is given by iterative methods.