On the Viability of Solutions to Conformable Stochastic Differential Equations | Journal of Partial Differential Equations

On the Viability of Solutions to Conformable Stochastic Differential Equations

Authors

Liping Xu
Zhi Li

DOI:

https://doi.org/10.4208/jpde.v37.n1.3

Keywords:

Viability, conformable derivatives, conformable stochastic differential equation.

Abstract

The viability of the conformable stochastic differential equations is studied. Some necessary and sufficient conditions in terms of the distance function to $K$ are given. In addition, when the boundary of $K$ is sufficiently smooth, our necessary and sufficient conditions can reduce to two relations just on the boundary of $K.$ Lastly, an example is given to illustrate our main results.

Downloads

Published

2024-02-20

Issue

Vol. 37 No. 1 (2024)

Section

Articles

Most read articles by the same author(s)

Hailing Liu, Liping Xu, Zhi Li, Stochastic Differential Equations Driven by Multifractional Brownian Motion and Poisson Point Process , Journal of Partial Differential Equations: Vol. 32 No. 4 (2019)
Qiaoqiao Xie, Bin Yang, Zhi Li, Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps , Journal of Partial Differential Equations: Vol. 34 No. 2 (2021)
Yuanyuan Jing, Zhi Li, Liping Xu, The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises , Journal of Partial Differential Equations: Vol. 34 No. 1 (2021)
Yuanyuan Jing, Yarong Peng, Zhi Li, Stochastic Averaging Principle for Mixed Stochastic Differential Equations , Journal of Partial Differential Equations: Vol. 35 No. 3 (2022)
Liping Xu, Zhi Li, Neutral Fractional Stochastic Differential Equations Driven by Rosenblatt Process , Journal of Partial Differential Equations: Vol. 31 No. 2 (2018)
Wentao Zhan, Zhi Li, Sobolev-type Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients , Journal of Partial Differential Equations: Vol. 32 No. 2 (2019)
Jiaxin Zhao, Zhi Li, Liping Xu, Quasi Contraction of Stochastic Functional Differential Equations , Journal of Partial Differential Equations: Vol. 36 No. 2 (2023)
Zhi Li, Liping Xu, Doubly Perturbed Neutral Stochastic Functional Equations Driven by Fractional Brownian Motion , Journal of Partial Differential Equations: Vol. 28 No. 4 (2015)
Min Liu, Liping Xu, Zhi Li, Zhong Chen, Harnack Inequality and Applications for Stochastic Retarded Differential Equations Driven by Fractional Brownian Motion , Journal of Partial Differential Equations: Vol. 30 No. 1 (2017)
Zhi Li, Jiaowan Luo, Neutral Functional Partial Differential Equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients , Journal of Partial Differential Equations: Vol. 27 No. 1 (2014)

1 2 > >>