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On the Viability of Solutions to Conformable Stochastic Differential Equations

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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.

Viabilityconformable derivativesconformable stochastic differential equation

XU Liping、LI Zhi

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School of Information and Mathematics,Yangtze University,Jingzhou 434023,China

湖北省自然科学基金国家自然科学基金

2021CFB54311901058

2024

10.4208/jpde.v37.n1.3

偏微分方程(英文版)

偏微分方程(英文版)

影响因子：0.078
ISSN：1000-940X
年,卷(期)：2024.37(1)
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