... nontrivialsolution of the BVP 1.1 and 1.2.Next, we show the uniqueness of solutions of the BVP 1.1 and 1.2. Assume, to the contrary, that there exist two nontrivial solutions y1 and y2 of the BVP ... uλsatisfies the properties (i)–(iii) stated inTheorem 1.1. The aim of this work is to relax the assumptions A1 and B1 on the nonlinear term,without demanding the existence of upper and lower solutions, ... Equations 1–7 and references therein. Especially, there was much attention focused on the existence and multiplicity of positive solutions of fourth-order problem, for example, 8–10,andinparticular the...