Existence theorems for a nonlinear second-order distributional differential equation

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 Kurzw...

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Bibliographic Details
Main Authors: Wei Liu, Guoju Ye, Dafang Zhao, Delfim F.M. Torres
Format: Article
Language:English
Published: Elsevier 2018-10-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364717302148