Author(s): Liu, Wei ; Ye, Guoju ; Zhao, Dafang ; Torres, Delfim F. M.
Date: 2018
Persistent ID: http://hdl.handle.net/10773/24500
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Subject(s): Distributional differential equation; Measure differential equation; Stochastic differential equation; Regulated function; Kurzweil–Henstock–Stieltjes integral; Leray–Schauder nonlinear alternative
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.
