文章基本信息

标题：Existence theorems for a nonlinear second-order distributional differential equation
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作者：Wei Liu ; Wei Liu ; Guoju Ye 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2018
卷号：30
期号：4
页码：527-530
DOI：10.1016/j.jksus.2017.04.009
语种：English
出版社：Elsevier
摘要：AbstractIn this work, we are concerned with existence of solutions for a nonlinear second-order distributional differential equation, which contains measure differential equations and stochastic differential equations as special cases. The proof is based on the Leray–Schauder nonlinear alternative and Kurzweil–Henstock–Stieltjes integrals. Meanwhile, examples are worked out to demonstrate that the main results are sharp.
关键词：Distributional differential equation;Measure differential equation;Stochastic differential equation;Regulated function;Kurzweil–Henstock–Stieltjes integral;Leray–Schauder nonlinear alternative