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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (4): 389-404.

• 论文 • 上一篇    

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

崔尚斌1, 屈长征2   

  1. 1. Dept. of Math., Lanzhou Univ., Lanzhou;
    2. Dept. of Math., Northwest Univ., Xi’an
  • 收稿日期:1992-11-06 出版日期:1994-04-18 发布日期:1994-04-18

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

Cui Shang-bin1, Qu Chang-zheng2   

  1. 1. Dept. of Math., Lanzhou Univ., Lanzhou;
    2. Dept. of Math., Northwest Univ., Xi’an
  • Received:1992-11-06 Online:1994-04-18 Published:1994-04-18

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摘要： 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.

关键词: dimension, fractal curve, fractal surface, SPFS, integro-partial differential equation, initial value problem, global classical solution

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.

Key words: dimension, fractal curve, fractal surface, SPFS, integro-partial differential equation, initial value problem, global classical solution

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