existence theorems 中文意思是什麼
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His doctoral dissertation on differential equations connected itself with existence theorems.
他論述微分方程的博士論文涉及到存在理論。 -
Existence and uniqueness theorems of solutions for a class of higher - order boundary value problems
一類高階常微分方程邊值問題的解的存在惟一性 -
The existence of fixed point for some class of order - compression decreasing operators is studied, and some existence and uniqueness theorems are obtained. finally, we give an example of application
摘要研究了在序壓縮條件下非緊減運算元的不動點的存在性，得到了新的不動點定理，並給出了一個應用的例子。 -
Existence theorems of maximal elements in noncompact h - spaces with applications
空間中的極大元存在定理及其應用 -
Existence theorems about two positive solutions for a nonlinear one - dimensional p - laplacian
方程的兩正解存在定理 -
In this paper, by recalling the developping history of variational inequalities and by using many other authors " results in this field, especially by using the concept of generalized m - accretive mappings in banach spaces and the relevant results which was first introduced and studied by huang and fang, we introduce and study a new class of parametric nonlinear variational inclusions involving generalized m - accretive mappings in banach spaces and prove the existence theorems of solutions. at last, we also analyze the sensitivity of solutions for this kind of nonlinear variational inclusions.
通過變分不等式的引入和發展歷史的回顧，借用前人對有限維空間和hilbert空間中（廣義）變分不等式問題解的存在性和靈敏性分析的已知結果，特別是， huang和fang最近引入的廣義m -增生的概念以及其相應的結果，我們研究並分析了banach空間中一類具廣義m -增生映象的含參非線性變分包含問題。 -
As applications, some minimax inequalities and saddle point the - orems, fixed point theorems and section theorems, maximal element theorems and the existence theorems of equilibrium for abstract economies are obtained in l - convex spaces
作為應用，我們得到了新的極大極小不等式、鞍點定理、不動點定理、截口定理和極大元定理，並研究了抽象經濟的平衡存在性。 -
At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces
首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。 -
In chapter 3, together with ding xie - ping and fang min, we proved some new existence theorems of maximal elements and coincidence theorems involving better admissible mappings under noncompact setting of g - convex spaces
在第三章，同丁協平，方敏等合作，在非緊設置下，證明了g -凸空間內涉及較好容許映象的極大元存在定理和重合點定理，並給出應用。 -
At the same time, we especially study a class of abstract generalized vector equilibrium problem ( in short, agvep ) in g - convex space, using the generalized s - r - kkm type theorem, we establish some new existence theorems of equilibrium points for the agvep in noncompact g - convex spaces
同時，我們在g -凸空間內著重研究了一類抽象廣義矢量平衡問題（簡稱agvep ） ，利用廣義s - r - kkm型定理在非緊g -凸空間內建立了一些新的抽象廣義矢量平衡問題平衡點的存在定理。 -
In this paper, using the fundamental theorems about the existence of the characteristic value of the symmetric integral equation, we prove another two important theorems
摘要本文利用對稱式方程特徵值存在基本定理證明了關于對稱式積分方程特徵值存在性的兩個重要結論。 -
Chapter two, proves some new existence theorems of maximal elements and coincidence theorems involving better admissible mappings
在第二章中，證明了某些關于較好容許映像的新的極大元存在定理和重合點定理。 -
Some new existence theorems of maximal elements and coincidence theorems are proved in the g - convex spaces. the organization of this paper as follow : in chapter 1, some new kkm type theorems are established in the product space of the g - convex spaces
在g -凸空間內證明了某些新的極大元存在定理和重合點定理並給出了應用。全文組織如下：在第一章，建立了g -凸空間中的kkm型定理及其變形。 -
In this article, we study the infinite boundary value problems for first order nonlinear impulsive differential equations with " supremum " by means of the upper and lower solution method and the monotone iterative technique, and obtain the existence theorems for their extremal solutions
摘要應用上下解方法和單調迭代技術研究了帶有上確界的一階非線性脈沖微分方程無窮邊值問題，並獲得了其極值解的存在性結果。 -
We studied the existence of random fixed points of nonexpansive random semiclosed 1 - set contractive mappings around a constant point and obtained the corresponding random fixed point theorems
摘要研究了定點非擴張隨機半閉1 -集壓縮映象的隨機不動點的存在性問題，獲得了相應的隨機不動點定理。 -
One hand, our results improve the corresponding results in [ 6. 10. 11 ]. on the other hand, some new results as to the existence of multiple solutions are obtained by using several multiplicity theorems in critical points theory
本文一方面對已有文獻的結論加以推廣，另一方面，運用臨界點理論中的幾個多解定理得到一些新的多重解的存在性結果。 -
For h - d data distributing over regular - grid points, a new concept " cubical matrix " " is presented, some operating rules on it are established, and a definition and expressions of tri - cubic spline function are introduced about which its unique existence theorems are proved, interpolating error is estimated, and practical algorithms to produce two kinds of boundary conditions and methods for its computation are presented
完成的主要研究內容和成果如下：一、對規則區域上分佈的h - d數據，首次提出了立體矩陣的概念，建立了其運算規則，給出了三三次曲面的定義及表達式，證明了其存在唯一性。 -
In this paper, we discuss the existence of random fixed point for random monotone increasing ( decreasing ) operators and random mixed monotone operators. some new random fixed point theorems are obtained
摘要討論了隨機單調增（減）運算元和隨機混合單調運算元的隨機不動點的存在性，得到一些新的隨機不動點定理。 -
The existence and relevant theorems of homoclinic orbits for another generalized lienard system are obtained
摘要本文得到了另一廣義系統，的同宿軌的存在條件及其相關定理。 -
Existence theorems of solutions for a kind of quasi - variational inequalities with monotone type multivalued mapping in hyperconvex metric spaces
超凸度量空間中一類單調型集值映射擬變分不等式解的存在定理
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