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国家自然科学基金(06JJ50008)

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发文基金:国家自然科学基金广东省自然科学基金更多>>
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Picard Boundary Value Problems of Second Order p-Laplacian Differential Equations被引量:8
2011年
Suffcient conditions for the existence of at least one solution of two-point boundary value problems for second order nonlinear differential equations [φ(x(t))] + kx(t) + g(t,x(t)) = p(t),t ∈(0,π) x(0) = x(π) = 0 are established,where [φ(x)] =(|x |p-2x) with p > 1.Our result is new even when [φ(x)] = x in above problem,i.e.p = 2.Examples are presented to illustrate the effciency of the theorem in this paper.
LIU Yu-ji
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