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- His doctoral dissertation on differential equations connected itself with existence theorems. 他论述微分方程的博士论文涉及到存在理论。
- A new existence theorem is obtained by applying the degree theory on cone. 利用锥上的度数理论获得了一个新的存在定理。
- Some existence theorems for initial value problems with n Laplacian operators are established in three singular cases. 在一定条件下 ;带有n Laplacian算子的奇性初值问题存在正解 .
- Abstract : in this paper, we establish some new existence theorems for maximal elementin a kind of noncompact H-spaces. 摘要 : 本文在一类非紧H-空间中建立了新的极大元存在定理。
- As applications, some new existence theorems of solutions for the SGVQEP are established in noncompact product G-convex spaces. 作为应用,在非紧乘积G-凸空间中证明了SGVQEP解的一些新的存在定理。
- In this paper the weak solutions of differential inclusions, random differential inclusions in Banach spaces are introduced; their existence theorems are proved. 本文对Banach空间中的微分包含及随机微分包含引入了弱解的概念;并给出了它们的存在性定理.
- In this paper we prove that the global existence theorems of the solutions to Cauchy problem for a class of quasilinear parapolic systems, by using of the entropy-entropy flux. 本文通过引进熵-熵流对,证明了一类拟线性抛物方程组Cauchy问题解的整体存在性定理。
- An existence theorem is obtained for the periodic solutions of Lagrangian systems by the least action principle. 用极小作用原理得到了非自治Lagrange系统周期解的一个存在性定理.
- By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert spaces. 利用不动点定理;我们得到了关于这类非线性投影方程解的一些新的存在性定理.
- We obtain equilibrium existence theorem of generalized games in L-convex space,where the preference correspondence is L_S-majorized mapping. 在L-凸空间中;证明了定性博弈和广义博弈的均衡存在定理.
- In this paper,a existence theorem of the coupled fixed points for multivalued mixed monotone operators is proved and some application is given. 证明了多值混合单调算子耦合不动点的存在定理,并给出某些应用.
- The present paper using upper and lower solutions,proves an existence theorem of almostperiodic solutions for integrodifferential systems. 采用上下解方法,给出了一个积分微分系统概周期解存在的一般性定理。
- Here, the constraint correspondences under the assumption that are almost lower semi-continuous.The equilibria existence theorem is proved. 此均衡的存在是在几乎下半连续的假设下进行的,而且行为者组成的空具有连续统基数。
- In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented. 摘要文章提供关于局部FC-空间上的广义变分不等式的存在性定理,并给出它的一些应用。
- The existence theorem shows that the equation has at least one solution provi ded the nonlinear term satisfies a linear growth condition. 这个存在定理说明只要非线性项满足某种线性增长条件该方程至少有一个解 .
- Periodic solution of Lagrangian system is studied with locally coercive potential or sublinear nonlinearity by the least action principle, and an existence theorem is obtained. 利用极小化作用原理研究了具有局部强制性位势或具有次线性非线性项的Lagrange系统的周期解;并得到了一个存在性定理.
- An existence theorem is obtained for periodic solutions of the nonautonomous second order systemswith even-typed potentials by the least action principle. 用极小作用原理得到了具有偶型位势的非自治二阶系统周期解的一个存在性定理.
- Fan-Browder type fixed point theorems on G-convex product spaces are obtained and new existence theorems of (partially) maximal element and equilibrium point are given by using the above result. 我们得到了一般化凸乘积空间上Fan-Browder型不动点定理,然后利用上述结果给出(部分)极大元素和平衡点的存在定理。
- Using the so-called nonlinear scalarization function, existence theorems and gap functions for some equilibriums problems in the cases of vector-valued and set-valued are established. 本文以标量化函数为主要工具分别研究了单值和集值情况下的几类向量均衡问题解的存在性及其沟函数。
- We utilize Park's maximal element theorem in H-space to prove the existence theorems of solutions of the complementarity problems for multivalued non-monotone operators in Banach spaces. 应用H-空间中的Park极大元定理;在Banach空间中证明了多值非单调算子的相补问题的解的存在性定理.