A class of function spaces and its application in solving second-order nonlinear differential equations

作者：Guo, Zihua; Yin, Zhaoyang^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(7): 2750-2757.

DOI：10.1016/j.na.2010.12.028

• A class of function spaces
• Time global monotone positive solution
• Second-order nonlinear differential equation
• Fixed point theorem

In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinear second-order ordinary differential equations by applying the Schauder-Tikhonov fixed point theorem. This result generalizes the result of existence on a half-line given in Yin (2003) [8].

• 出版日期2011-4-1
• 单位北京大学; 中山大学