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中文摘要：
讨论了一类带非齐次边界条件的p-Laplacian方程 ｛φp（u′（t）））′＋f（t,u）=0,t∈[0,1];u′（0）-∫1 0 u′（s）dA（s）=-λ,u（1）-∫1 0 u（s）dB（s）=μ 唯一解的存在性．其中：A（s），B（s）为有界变差函数；φp（s）=｜s｜p-2,p〉1;λ,μ∈[0,∞）为参数．得到了正解存在唯一的充分条件．
英文摘要：
In this paper, we study the existence and uniqueness ofsolutions of p-Laplacian equations with nonhomogeneous boundary conditions {φp（u′（t）））′＋f（t,u）=0,t∈[0,1];u′（0）-∫1 0 u′（s）dA（s）=-λ,u（1）-∫1 0 u（s）dB（s）=μ Where A（s）,B（s） are bounded variation functions,φp（s）=｜s｜p-2,p〉1;λ,μ∈[0,∞） are parameters. We obtain the sufficient conditions for the existence and uniqueness of a positive solution.
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