This paper investigates the existence of solutions of periodic boundary value problems for nonlinear second order functional differential equations. By establishing comparison results, criteria on the existence of max...This paper investigates the existence of solutions of periodic boundary value problems for nonlinear second order functional differential equations. By establishing comparison results, criteria on the existence of maximal and minimal solutions are obtained.展开更多
In this paper, by utilizing a fixed point theorem on cone in Banach space, the author disscusses the periodic boundary value problem of second order differential systems. Some results on the existence of positive solu...In this paper, by utilizing a fixed point theorem on cone in Banach space, the author disscusses the periodic boundary value problem of second order differential systems. Some results on the existence of positive solutions are derived.展开更多
In this paper we prove a uniqueness theorem of solutions for second boundary value problem of a class of second order nonlinear differential equation. In the proof the spectral theory of second order differential oper...In this paper we prove a uniqueness theorem of solutions for second boundary value problem of a class of second order nonlinear differential equation. In the proof the spectral theory of second order differential operators and Schauder's fixed point theorem are used.展开更多
基金Supported by NNSF-China (No.10071043)the YNSF of Shandong Province (No.Y2000A06)
文摘This paper investigates the existence of solutions of periodic boundary value problems for nonlinear second order functional differential equations. By establishing comparison results, criteria on the existence of maximal and minimal solutions are obtained.
基金Supported by the Natural Science Foundation of Guangdong Province(No. 032469).
文摘In this paper, by utilizing a fixed point theorem on cone in Banach space, the author disscusses the periodic boundary value problem of second order differential systems. Some results on the existence of positive solutions are derived.
文摘In this paper we prove a uniqueness theorem of solutions for second boundary value problem of a class of second order nonlinear differential equation. In the proof the spectral theory of second order differential operators and Schauder's fixed point theorem are used.