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位势函数的英文

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"位势函数"怎么读用"位势函数"造句

英文翻译手机手机版

  • potential function

例句与用法

  • 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
    ( ? , ? )为r ~ n中内积, | ? |为对应范数。 f [ 0 , t ] r ~ n r连续, ? f ( t , x )存在且连续, h l ~ 1 ( 0 , t ; r ~ n ) 。利用ekeland变分原理和鞍点定理讨论了该系统周期解的存在性,把非线性项和位势函数放宽到一类无界函数,推广了这方面工作的一些已有结果;利用广义鞍点定理和lusternik - schnirelman畴数理论得到了该系统的多重周期解,取掉了泛函的常定要求;最后利用对称山路定理得到没有扰动时系统的无穷多周期解。
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