SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS  

作　　者：石玉峰 

出　　处：《Acta Mathematicae Applicatae Sinica》1999年第4期409-417,共9页应用数学学报（英文版）

摘　　要：A class of singularly perturbed nonlinear two-*point boundary value problems of ordinary differeotial equstions is studied. Under suitable monotonicity assumptions, we show the existence and uniqueness of solutions by means of the homotopy approach and give an application in singular perturbations for optimal control problems.A class of singularly perturbed nonlinear two-*point boundary value problems of ordinary differeotial equstions is studied. Under suitable monotonicity assumptions, we show the existence and uniqueness of solutions by means of the homotopy approach and give an application in singular perturbations for optimal control problems.

关 键 词：Singular perturbation nonlinear two-point BVP homotopy approach optimal control 

分 类 号：O175[理学—数学]