... Guo, J. X. Sun, and Z. L. Liu, Functional Methods of N onlinear Ordinary Differential Equations ,Shandong Science and Technology Press, Jinan, China, 1995.Boundary Value Problems 3 In this paper, ... 1.4.4Then solving the BVP 4.1 is equivalent to finding fixed points in K. Obviously Φ iscompletely continuous and keeps the K invariant for λ ≥ 0.Definef0 lim infφτ→ 0mint∈1,Tft, ... Gai et al. 1, Guo and Tian 2, Henderson and Peterson 3, and Yang et al. 4. By using the critical point theory,Deng and Shi 5 studied the existence and multiplicity of the boundary value...