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期刊论文
Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
R. Ma, B. Thompson/J. Math. Anal. Appl. 303(2005)726-735，-0001，（）：
We consider boundary value problems for nonlinear second order differential equations of the formu”+ a(t)f (u) = 0, t∈ (0, 1),u(0) = u(1) = 0, where a ∈ C([0, 1], (0,∞)) and f :R→R is continuous and satisfies f (s)s >0 for s ≠0.We establish existence and multiplicity results for nodal solutions to the problems if either f0 = 0, f∞=∞ or f0 =∞, f∞ = 0, where f (s)/s approaches f0 and f∞ as s approaches 0 and ∞, respectively. We use bifurcation techniques to prove our main results.
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