Regularity of solutions to differential equations with non-Lipschitz coefficients

被引：5

作者：

Luo, Dejun ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2008年 / 132卷 / 04期

关键词：

differential equation; non-Lipschitz condition; Holder continuous; Hausdorff dimension;

D O I：

10.1016/j.bulsci.2007.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the ordinary and stochastic differential equations whose coefficients satisfy certain non-Lipschitz conditions, namely, we study the behaviors of small subsets under the flows generated by these equations. (C) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：257 / 271

页数：15

共 50 条

[41] EULER SCHEME AND MEASURABLE FLOWS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS
王志明
[J]. Acta Mathematica Scientia, 2018, (01) : 157 - 168
[42] INVARIANT MEASURE FOR NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS
Stanzhytsky, Andriy
Misiats, Oleksandr
Stanzhytskyi, Oleksandr
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (06): : 1929 - 1953
[43] Evolution differential equations with non-Lipschitz nonlinearities
Zubelevich, O. E.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (09) : 1275 - 1276
[44] Evolution differential equations with non-Lipschitz nonlinearities
O. E. Zubelevich
[J]. Differential Equations, 2014, 50 : 1275 - 1276
[45] A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients
Jiang, Feng
Shen, Yi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (06) : 1590 - 1594
[46] On Schrodinger type evolution equations with non-Lipschitz coefficients
Cicognani, Massimo
Reissig, Michael
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2011, 190 (04) : 645 - 665
[47] G-NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH VARIABLE DELAY AND NON-LIPSCHITZ COEFFICIENTS
Abouagwa, Mahmoud
Li, Ji
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (04): : 1583 - 1606
[48] On Wiener-Poisson type multivalued stochastic differential equations with non-Lipschitz coefficients
Wu, Jing
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (04) : 675 - 690
[49] A generalization of bihari's inequality and fuzzy random differential equations with non-Lipschitz coefficients
Fei, Weiyin
[J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (04) : 425 - 439
[50] Averaging principle for neutral stochastic functional differential equations with impulses and non-Lipschitz coefficients
Cui, Jing
Bi, Nana
[J]. STATISTICS & PROBABILITY LETTERS, 2020, 163

← 1 2 3 4 5 →