Solvability of a class of second-order quasilinear boundary value problems  

作　　者：姚庆六 

机构地区：[1]Department of Applied Mathematics,Nanjing University of Finance and Economics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第8期1055-1062,共8页应用数学和力学（英文版）

摘　　要：The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonlinear term on a bounded set and the consideration of the integration of the height function, the existence of the solution is proven. The existence theorem shows that the problem has a solution if the integration of the limit growth function has an appropriate value.The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonlinear term on a bounded set and the consideration of the integration of the height function, the existence of the solution is proven. The existence theorem shows that the problem has a solution if the integration of the limit growth function has an appropriate value.

关 键 词：quasilinear ordinary differential equation two-point boundary value problem SOLVABILITY Lebesgue dominated convergence theorem 

分 类 号：O175.8[理学—数学]