## 留言板

 引用本文: 郭艾. 一类非线性积分偏微分方程的初值问题[J]. 应用数学和力学, 1999, 20(6): 640-646.
Guo Ai. Initial Value Problems for a Class of Nonlinear Integro-Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(6): 640-646.
 Citation: Guo Ai. Initial Value Problems for a Class of Nonlinear Integro-Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(6): 640-646.

## 一类非线性积分偏微分方程的初值问题

###### 作者简介:郭艾(1964- ),女,讲师,硕士.
• 中图分类号: O175.6

## Initial Value Problems for a Class of Nonlinear Integro-Partial Differential Equations

• 摘要: 讨论初值问题 整体经典解的存在性。该问题来源于粘弹性力学。在关于已知函数的一些正则性假设和p'(s)≥c1>0,|q'(s)|≤const,λ(0)<0,λ'(0)<λ2(0)的条件下,通过能量估计,证明了该问题整体经典解的存在性。
•  [1] Cui Shangbin.Global solutions for a class of nonlinear integro-differential equations[J].Acta Appl Math Sinica,1993,16(2):191~200.(in Chinese) [2] Wang Shubin.Initial boundary value problems and initial value problems of sem ilinearquasi-hyperbo lic integro-differential equation[J].Acta Appl Math Sinica,1995,18(4):567~578.(in Chinese) [3] Greenberg J M,MacCam y R C,Mizel V J.On the existence,uniqueness and stability ofso lutions of the equation R(ux)uxx+uxxt=utt[J].J Math Mech,1968,17:707~728. [4] MacCamy R C.A model for one dimensional nonlinear viscoelasticity[J].Quart Appl Math,1977,35:21~33.

##### 计量
• 文章访问数:  2555
• HTML全文浏览量:  69
• PDF下载量:  671
• 被引次数: 0
##### 出版历程
• 收稿日期:  1997-08-11
• 修回日期:  1998-03-15
• 刊出日期:  1999-06-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈