U.S.-Chile Program: Aspects of the Qualitative Theory of Functional Differential Equations

Ivanov 0203702这个美国-智利项目奖将为A. F.宾夕法尼亚州立大学的伊凡诺夫和曼纽尔·A.平托和谢尔盖I.位于圣地亚哥的智利大学的Trofimchuk和SamuelA.智利Conception的Universidad del Bio-Bio的卡斯蒂略。 该项目的目的是从定性和数值两个方面研究泛函微分方程及其系统的解的全局动力学，包括周期解的存在性、稳定性、对参数的依赖性和分岔、混沌行为以及平衡点的全局稳定性等问题。 它将强调研究全局稳定性和周期解的方程建模真实的生活中的现象和渐近行为的差异和离散泛函微分方程。 该项目的意义在于它有可能解决几个重要的理论数学问题，从而进一步发展该领域的定性理论。

Ivanov0203702This U.S.-Chile Program award will provide support for cooperative research between Dr. A. F. Ivanov of Pennsylvania State University and Drs. Manuel A. Pinto and Sergei I. Trofimchuk of the Universidad de Chile in Santiago, and Dr. Samuel A. Castillo of Universidad del Bio-Bio in Conception, Chile. They will work on aspects of the qualitative theory of functional differential equations.The aim of this project is to study both qualitatively and numerically, the global dynamics of solutions of functional differential equations and systems of such equations including questions of the existence, stability, dependence on parameters and bifurcation of periodic solutions, chaotic behavior, and global stability of equilibria. It will emphasize the study of global stability and periodic solutions of equations modeling real life of phenomena and asymptotic behavior in difference and discretized functional differential equations. The significance of the project lies in its potential to solve several important theoretical mathematical problems, thus further developing the qualitative theory of the field.