非线性差分方程和动力系统解的收敛准则
A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems
摘要：
得到了非自治非线性差分方程和方程组解连续收敛的一个一般性充分条件。对于高阶方程，时滞的大小和模式在决定解的连续性收敛方面起着至关重要的作用。对于系统，方程之间的特定联系方式是重要的，并导致不同的标准。离散动力系统的应用，包括一些模型种群的某些物种进行了讨论。
英文摘要：
A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. For higher order equations the delay sizes and patterns play essential roles in determining which subsequences of solutions converge. For systems the specific manner in which the equations are related is important and lead to different criteria. Applications to discrete dynamical systems, including some that model populations of certain species are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
