Question

帮忙翻译一下，谢谢大家了～我英语太差了～实在着急～也不知道怎么弄～

抽象空间微分方程理论及微分方程奇异边值问题都是近年来十分活跃的微分方程理论的重要分支, 它们在生物学、生物医学、经济学及航天技术领域都有着广泛应用, 近年来都获得了迅猛发展. 同时, 泛函微分方程周期解的存在性问题一直是很多数学工作者关心的问题, 在过去的二十年中,许多专家和学者做了大量有意义和创造性的工作, 得到了很多结果. 近年来, 无穷时滞中立型泛函微分方程周期解的存在性问题被进一步广泛研究.
本世纪以来, 自然科学的许多分支学科中提出了大量时滞问题如电路信号系统、生态系统、燃料回收利用系统、遗传问题等. 社会科学方面的经济现象中也有时滞的描述如商业销售问题、财富分布、资本主义经济周期性危机等. 近来, 带无穷时滞和无界滞量的泛函微分方程也跟着兴起,发展非常迅速. 在我国, 有些学者如郑祖麻、李森林、傅希林等早开始注意并研究泛函微分方程并获得了一些研究成果. 特别是1979 年在长沙举行的第一届泛函微分方程会议, 到2010年在张家界举行了第十一届泛函微分方程会议以来, 在一定程度上促进了我国泛函微分方程的研究和发展. 但还有许多问题需要广大专家学者进一步研究和完善. 对泛函微分方程解的性态研究是泛函微分方程定性理论的一个重要方面, 不但具有重要的理论价值而且还具有重要的现实意义. 周期现象在自然界和人们的生产实践中频繁的出现如经济危机周期性发生、生物种类数量的周期变化等等. 从而使泛函微分方程周期解理论成为微分方程理论及其应用的重要研究课题之一. 因此, 研究泛函微分方程周期解的存在性问题, 不仅有重要的理论意义, 而且还有重要的应用价值.

Answer 1

Singular differential equations and differential equations in abstract space boundary value problem is an important branch of the theory of differential equations is very active in recent years, they are in biology, biomedicine, economics and space technology has been widely applied, in recent years has been rapid development. At the same time, the existence of periodic solutions for functional differential equations has been many workers concern, in the past twenty years, many experts and scholars have made a lot of sense and creative work, get a lot of results. In recent years, existence problem of infinite delay periodic solutions of neutral functional differential equations are further investigated widely.
Since the beginning of this century, many science branches in a lot of delay problems such as circuit signal system, ecological system, fuel recycling system, genetic problems. The economic phenomenon of Social Science in a delay is described as commercial sales problems, wealth distribution, the cyclical economic crisis of capitalism . Recently, functional differential equation with infinite delay and unbounded delays also follow the rise, development is very rapid. In China, some scholars such as Zheng Zuma, Fu Xilin, Li forest already began to pay attention and study of functional differential equations and obtain some research results. Especially in 1979 in Changsha held its first meeting to functional differential equations, since 2010 at the eleventh session of functional differential equation meeting in Zhangjiajie, to a certain extent, promote the research and development of our country's functional differential equations. But there are many problems in need of many experts and scholars to further research and improvement. Study on the behavior of solutions of functional differential equations is an important aspect of qualitative theory of functional differential equations, not only has theoretical the important value but also has important practical significance. Periodic phenomena in nature and people The production practice frequently appear as the economic crisis occurred periodically, periodic changes in species number and so on. So the periodic solution of functional differential equation theory has become one important research topic in the theory of differential equation and its applications. Therefore, the existence of periodic solutions of functional differential equations, not only has the important theory significance, but also an important application value.