Differential equations involving causal operators with nonlinear periodic boundary conditions

作者：Geng Fengjie^*

来源：Mathematical and Computer Modelling, 2008, 48(5-6): 859-866.

DOI：10.1016/j.mcm.2007.11.009

• lower and upper solutions
• causal operators
• weakly coupled lower and upper solutions
• weakly coupled quasi-solutions
• nonlinear periodic boundary conditions

The notion of causal operators is extended to periodic boundary value problems with nonlinear boundary conditions in this paper. By utilizing the monotone iterative technique and the method of lower and upper solutions (resp. weakly coupled lower and upper solutions), we establish the existence of the extremal solutions (resp. weakly coupled extremal quasi-solutions) for nonlinear periodic boundary value problems with causal operators.

• 出版日期2008-9
• 单位中国地质大学（北京）