【摘要】 研究了一类具有周期系数互惠的n种群微分系统.在适当的Banach空间中引入算子,将微分系统化为等价的算子方程;利用Arzela-Ascoli及重合度的同伦不变性质,证明了所引入的算子满足重合度延拓定理的条件,从而证明了系统周期解的存在性,并给出解的估计.更多还原

【Abstract】 A cooperative n-species with periodic coefficients system is studied.The system is transformed equivalent operator equations by introducing operator in the suitable Banach space.With the help of Arzela-Ascoli theorem and property of homotopy invariance of coincidence degree.It proved that the operator satisfies condition of continuation theorem in coincidence degree.The existence of positive periodic solution for the system is proved and estimate of solution is obtained.更多还原