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个人信息Personal Information
副教授
硕士生导师
性别：女
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：应用数学
办公地点：B1201
联系方式：wangy891@dlut.edu.cn
电子邮箱：wangy891@dlut.edu.cn
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Existence of pseudo-almost automorphic solutions for nonlinear differential equations
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论文类型：期刊论文
发表时间：2014-10-01
发表刊物：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
收录刊物：SCIE
卷号：30
期号：4
页面范围：977-988
ISSN号：0168-9673
关键字：Pseudo-almost automorphic; exponential trichotomy; Leray-Schauder fixed point theorem
摘要：In this paper, we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy, and the results also hold for some nonlinear equations with the form x'(t) = f(t, x(t)) + lambda (g) (t, x(t)), where f, g are pseudo-almost automorphic functions. We prove our main result by the application of Leray-Schauder fixed point theorem.