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期刊论文
Existence of positive solutions for 2nth-order singular sublinear boundary value problems
J. Math. Anal. Appl. 306(2005)619-636,-0001,():
This paper investigates the existence of positive solutions for 2nth-order (n>1) singular sublinear boundary value problems. A necessary and sufficient condition for the existence of C2n−2[0,1] as well as C2n−1[0, 1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f (t,x1, x2,…, xn) may be singular at xi=0,i=1,2,…,n,t= 0 and/or t= 1.
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