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期刊论文
Global behavior ofpositi ve solutions ofnonlinear three-point boundary value problems
R. Ma, B. Thompson/Nonlinear Analysis 60(2005)685-701,-0001,():
We investigate the structure ofthe positive solution set for nonlinear three-point boundary value problems ofthe form u"+ h(t)f (u) = 0,u(0) = 0, u(1) =λu(η),where η∈ (0, 1) is given, λ ∈ [0, 1 ] is a parameter, f ∈ C([0,∞], [0,∞]) satisfies f (s)>0 for s >0, and h ∈ C([0, 1], [0,∞]) is not identically zero on any subinterval of [0, 1]. Our main results demonstrate the existence ofcontinua ofpositi ve solutions ofthe above problem.
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