scholarly journals On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations

2018 ◽  
Vol 146 (7) ◽  
pp. 3039-3047 ◽  
Author(s):  
Zhijie Chen ◽  
Chang-Shou Lin
Keyword(s):  
Algebraic Multiplicity ◽  
Hill’S Equations

The deformation multiplicity of a map germ with respect to a Boardman symbol

2001 ◽  
Vol 131 (5) ◽  
pp. 1003-1022 ◽  
Author(s):  
C. Bivià-Ausina ◽  
J. J. Nuño-Ballesteros
Keyword(s):  
Geometrical Interpretation ◽  
Algebraic Multiplicity ◽  
Homogeneous Map

We define the deformation multiplicity of a map germ f: (Cn, 0) → (Cp, 0) with respect to a Boardman symbol i of codimension less than or equal to n and establish a geometrical interpretation of this number in terms of the set of Σi points that appear in a generic deformation of f. Moreover, this number is equal to the algebraic multiplicity of f with respect to i when the corresponding associated ring is Cohen-Macaulay. Finally, we study how algebraic multiplicity behaves with weighted homogeneous map germs.

The algebraic multiplicity of the complex eigenvalues of population operator and its application

2001 ◽  
Vol 80 (3-4) ◽  
pp. 257-268
Author(s):  
Xue-Zhi Li ◽  
Geni Gupur ◽  
Chun-Lei Tang ◽  
Guang-Tian Zhu
Keyword(s):  
Algebraic Multiplicity ◽  
Complex Eigenvalues
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