Free Vibration of a Class of Hill’s Equation Having a Small Parameter

Shao Xiao-huang; Wang Xin-zhi

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Shao Xiao-huang, Wang Xin-zhi. Free Vibration of a Class of Hill’s Equation Having a Small Parameter[J]. Applied Mathematics and Mechanics, 1990, 11(4): 329-335.

Citation:

Shao Xiao-huang, Wang Xin-zhi. Free Vibration of a Class of Hill’s Equation Having a Small Parameter[J]. Applied Mathematics and Mechanics, 1990, 11(4): 329-335.

Citation:

Shao Xiao-huang, Wang Xin-zhi. Free Vibration of a Class of Hill’s Equation Having a Small Parameter[J]. Applied Mathematics and Mechanics, 1990, 11(4): 329-335.

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Free Vibration of a Class of Hill’s Equation Having a Small Parameter

Shao Xiao-huang¹,
Wang Xin-zhi²

1.
Hangzhou Teachers College, Hangzhou;
2.
Gansu University of Technology, Lanzhou

Received Date: 1989-01-13
Publish Date: 1990-04-15

Abstract

Abstract

In this paper, we consider the initial value problem of a class of Hill's equation having a small parameter. Using the solvable condition of boundary value problem and the stretched parameter method in the perturbation techniques, we present the method which can be applied to obtain asymptotic periodic solution of the initial value problem. As an example, we consider Mathieu equation and present its computational result.

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References(7)

References

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