saddle n. 1.馬鞍;(腳踏車(自行車)等的)鞍。 2.(羊等的)帶肋[脊]骨的肉。 3.鞍形架,鞍狀物。 4.【地質(zhì)學(xué);地理學(xué)】鞍部;馬鞍形山;鞍狀構(gòu)造。 5.【物理學(xué)】諧振曲線的凹谷。 6.【造船】圓枕木;【機(jī)械工程】凹座,軸鞍,鞍座板;滑動座架;滑板;鍋爐座。 7.【電學(xué)】電線桿的托架;【建筑】浮橋的托梁;(門口的)踏板。 an axle saddle 【機(jī)械工程】軸鞍。 a cylinder saddle 鞍形汽缸座。 the Gr. S- (長江口外的)馬鞍山群島。 be at home in the saddle 善于騎馬。 be cast out of the saddle 免職。 for the saddle (馬)騎用的。 get into the saddle 騎上馬;就職。 in the saddle 騎著馬;在職;統(tǒng)轄著,控制著,掌著權(quán)。 lost the saddle 從馬上摔下來。 put the saddle on the right [wrong] horse 1. 責(zé)備應(yīng)該[不該]責(zé)備的人。 2. 夸獎(jiǎng)應(yīng)該[不該]夸獎(jiǎng)的人。 vt. 1.加鞍,上鞍。 2.給背上,使負(fù)擔(dān)(責(zé)任等)。 saddle sb. with a task 使某人擔(dān)負(fù)某一任務(wù)。 adj. -less
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(nèi)積,|?|為對應(yīng)范數(shù)。f[0,t]r~nr連續(xù),?f(t,x)存在且連續(xù),hl~1(0,t;r~n)。利用ekeland變分原理和鞍點(diǎn)定理討論了該系統(tǒng)周期解的存在性,把非線性項(xiàng)和位勢函數(shù)放寬到一類無界函數(shù),推廣了這方面工作的一些已有結(jié)果;利用廣義鞍點(diǎn)定理和lusternik-schnirelman疇數(shù)理論得到了該系統(tǒng)的多重周期解,取掉了泛函的常定要求;最后利用對稱山路定理得到?jīng)]有擾動時(shí)系統(tǒng)的無窮多周期解。