This paper is in the comparison theorem of Sturm-Liouville problem, based on the type of separation is given.

該文討論了一類分離邊界條件下的Sturm-Liouville特征值問題毛片网站观看，就不同的勢函數(shù)q黄页网站视频操出液体，分別在右定和左定情形下建立了特征值的比較定理。

harmonic function ; Liouville theorem ; Dirichlet integral ; relative compact domain

并得到 次調(diào)和函數(shù)的Liouville定理和具有有限的 Dirichlet積分的次調(diào)和函數(shù)的性質(zhì)免费二级毛片免费完整视频。

As for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. The conclusions extend and improve the existence theorem which Lou Ben-dong extablished in 1996 about the question of Sturm-Liouville of Banach spaces.

三欧美日韩亚洲、對(duì)于正解存在性問題超碰图片，我們應(yīng)用凝聚映射的不動(dòng)點(diǎn)指數(shù)理論天堂资源最新版网页，分別在超線性與次線性情形下進(jìn)行討論，獲得了一些正解存在的結(jié)果欧美A性交，主要結(jié)果推廣和改進(jìn)了1996年Lou Ben-dong對(duì)Banach空間Sturm-Liouville問題所建立的存在性定理影音先锋av强奸乱伦。

Under Sturm-Liouville conditions, the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem.

利用Leggett-Williams不動(dòng)點(diǎn)定理，研究了在Sturm-Liouville邊界條件下的一類二階常微分方程組多個(gè)正解的存在性黄色网站在线观看18，得到了至少三個(gè)正解存在的充分條件欧美一级a欧美一级A。

This paper weakened the Liouville s theorem conditions,and gives the Liouville theorem of a promotion.

弱化了劉維爾定理的條件，給出了劉維爾定理的一個(gè)推廣在线观看精品国产福利AV。

By means of classical analytic method and combinatorial computational technique, such as functional equations, Liouville theorem, series rearrangements, this dissertation investigates the product identities on theta functions.

利用經(jīng)典分析方法及組合計(jì)算技巧日韩毛片无码一级观看免费，例如函數(shù)方程，Liouville定理人人弄人人玩人人搡，級(jí)數(shù)重排等天天干网，本文著重研究theta函數(shù)中的乘積恒等式。

An integrated Hamiltonian theory was constituted in Classical Mechanics and applied to studying the form of Lagrange equation in theory of electromagnetic, the Schrodinger equation and the Liouville theorem in statistical Physics.

經(jīng)典力學(xué)利用Hamilton系統(tǒng)建立了一套完整的Hamilton理論亚洲哟哟精品网站，用以研究電磁場理論的拉格朗日方程形式亚洲产国偷v产偷v自拍小说，薛定諤波方程FreeXXXX性HD中国性，統(tǒng)計(jì)物理學(xué)中的Liouville定理等。

In this project, we have mainly researched the complex-anlyticity,constancy and stability of pluriharmonic maps to complex grassmannian manifolds;the characterization and isotropicity of pluriharmonic maps with finite uniton number;the regularity, singularty and Liouville theorem of harmonic maps.

本課題著重研究到復(fù)Grassmann流形多重調(diào)和映照的復(fù)分析插逼吃奶头69黄色视频、常值性及穩(wěn)定性之間的關(guān)系亚洲国产精品自拍线路；具有有限uniton數(shù)的多重調(diào)和映照的特征與迷向性；調(diào)和映照的正則性六月婷婷,激情九九、奇異性及Liouville定理人人做人人干人人操。

Liouville"s Theorem on entire functions is proposed as a proving method for theta function identities. Several identities are exemplified, such as the quintuple and septuple product identities; four symmetric difference identities related to the Ramanujan"s congruence modulo 11 on the partition function; as well as two theta function identities on the Rogers-Ramanujan functions G and H.

作者提出利用Liouville定理作為證明theta函數(shù)恒等式的基本方法，并以Watson五重積九九精品国产72国产精品福利，Hirschhorn七重積恒等式可以的黄色网站有哪些，四個(gè)與分拆函數(shù)中Ramanujan的模11同余有關(guān)的對(duì)稱差恒等式，以及兩個(gè)與Rogers-Ramanujan函數(shù)G国产网站自拍，H有關(guān)的theta函數(shù)恒等式為范例加勒比在线视频一区，論證這種方法的有效性。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二節(jié)91精品久久久久久中文字幕无码，我們定義了一種新的坐標(biāo)變換-廣義極坐標(biāo)黄页网站在线观看视频在线，并利用它討論了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville邊值問題，分別得到了存在一個(gè)解538再线视频、多個(gè)解欧美日韩激情A片视频一站、無窮多個(gè)解的多個(gè)充分條件；第三節(jié)研究p-Laplacian算子的Sturm-Liouville邊值問題正解的存在性與多重性激情视频毛片在线观看，采用的是錐上的不動(dòng)點(diǎn)定理欧美大吊爆草，全面推廣了這一方面已有的結(jié)果；對(duì)目前研究較少的高維Laplacian-型算子及帶有Laplacian-型算子的泛函微分方程的周期解問題A级国产国偷自产在线观看，我們在第四節(jié)做了一些研究国产一区对白清晰国语，這也是拓?fù)浞椒ǖ囊粋€(gè)應(yīng)用。