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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 683-689.

• 论文 • 上一篇    下一篇

INITIAL VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

郭艾   

  1. Gansu University of Technology, Lanzhou 730050, P. R. China
  • 收稿日期:1997-08-11 修回日期:1998-03-15 出版日期:1999-06-18 发布日期:1999-06-18

INITIAL VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

Guo Ai   

  1. Gansu University of Technology, Lanzhou 730050, P. R. China
  • Received:1997-08-11 Revised:1998-03-15 Online:1999-06-18 Published:1999-06-18

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摘要： In this paper,the problem of global existence of solutions to the followin g initial value problem is studied: which comes from viscoelastic mechanics.By making u se of integral estimates method,it is proved that this problem has a global solution if,in addition to certain regularity assumptions on the given fun ctions,the following conditions are satisfied:

Abstract: In this paper,the problem of global existence of solutions to the followin g initial value problem is studied: which comes from viscoelastic mechanics.By making u se of integral estimates method,it is proved that this problem has a global solution if,in addition to certain regularity assumptions on the given fun ctions,the following conditions are satisfied:

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