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

Cui Shang-bin; Qu Chang-zheng

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Cui Shang-bin, Qu Chang-zheng. Initlal Boundary Value Problems for a Class of Nonlinear Integro-Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(4): 365-379.

Citation:

Cui Shang-bin, Qu Chang-zheng. Initlal Boundary Value Problems for a Class of Nonlinear Integro-Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(4): 365-379.

Citation:

Cui Shang-bin, Qu Chang-zheng. Initlal Boundary Value Problems for a Class of Nonlinear Integro-Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(4): 365-379.

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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

Received Date: 1992-11-06
Publish Date: 1994-04-15

Abstract

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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References(15)

References

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