位置：成果数据库 > 期刊 > 期刊详情页
带泊松跳的中立型随机微积分方程的存在唯一性和稳定性
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O211.63[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]南京师范大学数学科学学院,南京210023, [2]北江农林大学基础科学学院,北江越南
  • 相关基金：Supported in part by a China NSF Grant （11171158）; Qing Lan and ＂333＂ Project of Jiangsu Province and the NSF of the Jiangsu Higher Education Committee of China （11KJA110001）.
作者： 阎登勋[1,2]
关键词： 预解算子, 中立型随机微积分方程, Picard迭代, 泊松跳, resolvent operator, neutral stochastic integrodifferential equation, Picard ap- proximation, Poisson jumps
中文摘要：

本文研究了一类带泊松跳的中立型随机微积分方程（NSIDEPJs）．利用Picard迭代法和Bihari不等式的一个推论，在一类广义利普希茨条件下获得了希尔伯特空间~NSIDEPJs温和解的存在唯一性和稳定性，改进和推广了已有的结果．最后，举例说明本文结果的有效性．

英文摘要：

In this paper, we study a class of neutral stochastic integrodifferential equations with Poisson jumps （NSIDEPJs）. By using the method of Picard approximation and a corollary of Bihari＇s inequality, we obtain the existence, uniqueness and stability of mild solutions for NSIDEPJs under a class of generalized Lipschitz condition in a Hilbert space, which generalize and improve some known results. Finally, an example is provided to illustrate the efficiency of the obtained results.

同期刊论文项目
地球流体力学和物理学中一些非线性偏微分方程研究
期刊论文 50
同项目期刊论文
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system
Well-posedness for the stochastic 2D primitive equations with L,vy noise
BIFURCATION ANALYSIS OF AN AMPLITUDE EQUATION
On the rotation-two-component Camassa–Holm system modelling the equatorial water waves
Critical conditions and finite energy solutions of several nonlinear elliptic PDEs in R-n
Wolff type potential estimates and application to nonlinear equations with negative exponents
Well-posedness and the small time large deviations of the stochastic integrable equation governing s
On the Stability of Weak Solution for Compressible Primitive Equations
A note on the existence of stochastic integro-differential equations with memory
On sharp lower bound of the gap for the first two eigenvalues in the Schrödinger operator
A lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds
Asymptotic properties of positive solutions of the Hardy-Sobolev type equations
Qualitative analysis for the Hartree-type equations,
On the regularity of positive solutions of a class of Choquard type equations
Singularity analysis of Ginzburg-Landau energy related to p-wave superconductivity
Pathwise solutions of SPDEs driven by H？lder continuous integrators with exponent larger than 1/2 an
Integrability and boundedness of positive solutions of a Hardy-Sobolev type integral equation
On the stability of compressible Navier-Stokes-Korteweg equations
Tang, Tong; Gao, Hongjun On the compressible Boussinesq equations with partial dissipation term
Global existence and explosive solution for stochastic viscoelastic wave equation with nonlinear dam
Random attractors for stochastic evolution equations driven by fractional Brownian motion
Concentration compactness of a Landau-Lifschitz type energy with radial structure
Optimal integrability of some system of integral equations
Uniqueness of Weak Solutions to the 3D Ginzburg-Landau Superconductivity Model
Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the
Integrability and asymptotics of positive solutions of a gamma-Laplace system
The Cauchy problem for the Hartree equations under random influences
On an initial-boundary value problem for the p-Ginzburg-Landau system
Asymptotics of an euler-lagrange equation associated with extremal functions of the hardy-sobolev in
Classification of positive solutions for a static Schrodinger-Maxwell equation with fractional Lapla
On the integral systems with negative exponents
Analysis of a mutualism model with stochastic perturbations
Global existence for the stochastic degasperis-procesi equation
The stochastic fractional power dissipative equations in any dimension and applications
Asymptotic behavior of positive solutions of a nonlinear integral system
RADIAL SYMMETRY AND DECAY RATES OF POSITIVE SOLUTIONS OF A WOLFF TYPE INTEGRAL SYSTEM
一类具有Dirichlet边界条件的振幅方程的稳定性与分岔研究
正Ricci曲率的紧流形上第一特征值下界的新估计
分数阶脉冲中立型随机微积分方程的适定性
The spreading fronts in a mutualistic model with delay
期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910