一类非线性积分微分方程的初边值问题

崔尚斌; 屈长征

一类非线性积分微分方程的初边值问题

崔尚斌¹,
屈长征²

1.
兰州大学数学系;
2.
西北大学数学系西安

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出版历程
- 收稿日期: 1992-11-06
- 刊出日期: 1994-04-15

Initlal Boundary Value Problems for a Class of Nonlinear Integro-Partial Differential Equations

Cui Shang-bin¹,
Qu Chang-zheng²

1.
Dept. of Math. , Lanzhou Univ. , Lanzhou;
2.
Dept. of Math. , Northwest Univ. , Xi'an

摘要

摘要: 本文讨论下列初边值问题整体经典解的存在性：该问题所描述的是一类具有非线性粘弹性的粘弹性杆的非线性振动,在一定条件下,我们证明了该问题整体经典解的存在唯一性.
- 积分微分方程 /
- 初边值问题 /
- 整体经典解
Abstract: This paper studies the global existence of the classical solutions to the following problem: This problem describes the nonlinear vibrations of finite rods with nonlinear vis-coelasticity.Under certain conditions on σ and f,we obtained the unique existence of the global classical solution of this problem.
- integro-partial differential equation /
- initial value problem /
- global classical solution

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参考文献(15)

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