multiplicity of class 中文意思是什麼
multiplicity of class
解釋
類的多重性- multiplicity : n. 多,多樣,重復；多樣性,重復度,多重性；復雜。 a [the] multiplicity of 多重,許許多多。
- of : OF ＝Old French 古法語。
- class : n 1 階級;社會等級。2 學級；班級，年級，級，班；組；（有組織的）講習班；〈美國〉同年畢業班；【軍事...
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Multiplicity : you can designate the multiplicity of a relationship between two entities - for instance, each basket - weaving class must have between 20 and 30 students
多重性：您可以指派兩個實體之間的關系具有多重性。例如，每一節籃子編織課程上必須有20到30名學生。 -
The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
（ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。 -
Existence and multiplicity of positive entire solutions for a class of quasilinear elliptic equation
一類擬線性橢圓型方程正整體解的存在性
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