CLASSIFICATION AND EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DELAY DEPENDING ON THE UNKNOWN FUNCTION

作     者：LiWantong DongZhongqi Li Wantong Dong ZhongqiDepartment of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, China

作者机构：DepartmentofMathematicsLanzhouUniversityLanzhouGansu730000China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2004年第24卷第3期

页      面：403-411页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：国家自然科学基金 甘肃省自然科学基金 教育部高等院校优秀教师基金 

主　　题：Nonlinear differential equation with delay eventually positive solution asymptotic behavior fixed point theorem 

摘      要：A class of second order nonlinear differential equations with delay depenging on the unknown function of the from in the case where ∫0∞ ds/r(s) ∞ is studied. Various classifications of their eventually positive solutions are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also obtained.