Higher-order stochastic partial differential equations with branching noises

被引：6

作者：

Bo, Lijun ^{[1
,2
]}

Wang, Yongjin ^{[2
]}

Yan, Liqing ^{[3
]}

机构：

[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2008年 / 3卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Higher-order stochastic partial differential equation (SPDE); weak solution; tightness argument;

D O I：

10.1007/s11464-008-0006-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a class of higher-order stochastic partial differential equations (SPDEs) with branching noises. The existence of weak (mild) solutions is established through weak convergence and tightness arguments.

引用

页码：15 / 35

页数：21

共 50 条

[31] MONODROMY GROUPS FOR HIGHER-ORDER DIFFERENTIAL EQUATIONS
HEJHAL, DA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (03) : 590 - 592
[32] OSCILLATIONS OF HIGHER-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
LADAS, GE
LAKSHMIK.V
PAPADAKI.JS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A315 - A315
[33] On the oscillation of higher-order delay differential equations
B. Baculíková
J. Džurina
J. R. Graef
Journal of Mathematical Sciences, 2012, 187 (4) : 387 - 400
[34] Superstability of higher-order fractional differential equations
Ben Makhlouf, Abdellatif
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2022, 49 (01): : 11 - 14
[35] A CLASS OF HIGHER ORDER STOCHASTIC DIFFERENTIAL EQUATIONS
Pedjeu, Jean-Claude
Ladde, G. S.
DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (04): : 607 - 630
[36] Higher-order semi-implicit Taylor schemes for Ito stochastic differential equations
Zeghdane, R.
Abbaoui, L.
Tocino, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 1009 - 1023
[37] Stability of second-order stochastic neutral partial functional differential equations driven by impulsive noises
Jiang, Feng
Yang, Hua
Shen, Yi
SCIENCE CHINA-INFORMATION SCIENCES, 2016, 59 (11)
[38] Stability of second-order stochastic neutral partial functional differential equations driven by impulsive noises
Feng JIANG
Hua YANG
Yi SHEN
ScienceChina(InformationSciences), 2016, 59 (11) : 117 - 127
[39] Schwarz problem for higher-order complex partial differential equations in the upper half plane
Aksoy, Umit
Begehr, Heinrich
Celebi, A. Okay
MATHEMATISCHE NACHRICHTEN, 2019, 292 (06) : 1183 - 1193
[40] Oscillation Properties for Systems of Higher-Order Partial Differential Equations with Distributed Deviating Arguments
Liu, Youjun
Zhang, Jianwen
Yan, Jurang
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015

← 1 2 3 4 5 →