Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24500
Title: | Existence theorems for a nonlinear second-order distributional differential equation |
Author: | Liu, Wei Ye, Guoju Zhao, Dafang Torres, Delfim F. M. |
Keywords: | Distributional differential equation Measure differential equation Stochastic differential equation Regulated function Kurzweil–Henstock–Stieltjes integral Leray–Schauder nonlinear alternative |
Issue Date: | 2018 |
Publisher: | Elsevier |
Abstract: | In 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24500 |
DOI: | 10.1016/j.jksus.2017.04.009 |
ISSN: | 1018-3647 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[377]Liu_Ye_Zhao_Torres-JKSUS.pdf | 345.46 kB | Adobe PDF |
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