The local and global behavior of the positive solutions of the difference equation was investigated, where the parametersα,βandγand the initial conditions are arbitrary positive numbers. Furthermore, the characteri...The local and global behavior of the positive solutions of the difference equation was investigated, where the parametersα,βandγand the initial conditions are arbitrary positive numbers. Furthermore, the characterization of the stability was studied with a basin that depends on the conditions of the coefficients. The analysis about the semi-cycle of positive solutions has end the study of this work.展开更多
In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attr...In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.展开更多
文摘The local and global behavior of the positive solutions of the difference equation was investigated, where the parametersα,βandγand the initial conditions are arbitrary positive numbers. Furthermore, the characterization of the stability was studied with a basin that depends on the conditions of the coefficients. The analysis about the semi-cycle of positive solutions has end the study of this work.
基金Research supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University
文摘In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.
