The Index of the Complex Eigenvalues of a Parity Progressive Population Operator |
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| Authors: | Xue-Zhi LiGeni Gupur Yong-Jiang YuGuang-Tian Zhu |
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| Affiliation: | a Department of Mathematics, Xinyang Teacher's College, Henan, 464000, People's Republic of Chinab Department of Mathematics, Xinjiang University, Urumqi, 830046, People's Republic of Chinac Institute of Systems Science, Academia Sinica, Beijing, 100080, People's Republic of China |
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| Abstract: | In this paper we discuss the index of the complex eigenvalue of a parity progressive population operator. Under certain conditions, we first prove that all the complex eigenvalues of this operator, except at most finitely many ones, are of index 1, and then, as an application of this result, we obtain the asymptotic expansion of the solution of the corresponding parity progressive population equation. |
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| Keywords: | parity progressive population operator complex eigenvalues index asymptotic expansion |
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