On the existence of positive solutions of nonlinear second order differential equations
On the existence of positive solutions of nonlinear second order differential equations
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DOI：
10.1090/s0002-9939-96-03403-x
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
W. Lian;F. Wong;Cheh-Chih Yeh
中科院分区：
文献类型：
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作者：
W. Lian;F. Wong;Cheh-Chih Yeh
在f(t，u)的适当条件下，边值问题(E)u“(T)+f(t，u(T))=0在(0，1)，(Bc)(Bc)au(0)fu‘(0)=0，(Bc)Yu(1)+6u’(1)0=至少有一个正解.此外，我们还利用这一主要结果建立了一些非线性(椭圆)微分方程解的多个正解的存在性定理.
Under suitable conditions on f (t, u), the boundary value problem (E) u"(t) + f (t, u(t)) = 0 in (0, 1), (BVP) (BC) au (0) fu'(0) = 0, (BC) Yu(1) + 6u'(1)0= has at least one positive solution. Moreover, we also apply this main result to establish several existence theorems of multiple positive solutions for some nonlinear (elliptic) differential equations.