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TO DETERMINE THAT ALL THE ROOTS OF A TRANSCENDENTALPOLYNOMIAL HAVE NEGATIVE REAL PARTS |
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Citation: |
Hu Bo.TO DETERMINE THAT ALL THE ROOTS OF A TRANSCENDENTALPOLYNOMIAL HAVE NEGATIVE REAL PARTS[J].Chinese Annals of Mathematics B,1997,18(3):373~392 |
Page view: 1056
Net amount: 1161 |
Authors: |
Hu Bo; |
Foundation: |
Project supported by theScience Foundation of the State Education Commission of China |
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Abstract: |
A transcendental polynomial which has all its roots lying in the left
half-plane is called stable. In this paper, the stability of
transcendental polynomials which are nearly as general as those
discussed by L. S. Pontryagin are investigated through direct analytic method.
For application of the method presented in this paper, the asymptotic
stability of some differential-difference equations is investigated. |
Keywords: |
Transcendental polynomial, Direct analytic method,Asymptotic stability |
Classification: |
34D20 |
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