| 1. | The resolvent operator of the 2n - order j - selfadjoint vector differential operator with one endpoint singularity
自伴向量微分算子的预解算子 |
| 2. | A important result abrout the left - infinitesimal operator and the right - resolvent operator of a two - parameters semigraoup
双参数半群的左无穷小算子和右预解算子的一个重要结果 |
| 3. | Abstract : the present paper presents a new type of extension of markov process , which is , the condition of markov process as well as q process , and the expression of resolvent operator
文摘:提出一种新型的马氏过程延拓，同时给出了这种延拓既是马氏过程又是q过程的条件及预解算子的表达式 |
| 4. | Some new predictor - corrector methods and three - steps iterative algorithms for solving multivalued general mixed quasi - variational inequalities is presented by using the auxiliary principle and resolvent operator technique , respectively
利用辅助原理和预解算子技巧，提出了解一般混合集值拟变分不等式的预估-校正算法和三步迭代算法。 |
| 5. | An iterative algorithm for a class of set - valued mixed variational inequalities is presented by means of resolvent operators of set - valued mappings , and the convergence of the iterative algorithm is discussed
摘要利用集值映射的预解算子，提出了求解一类集值混合变分不等式问题的迭代算法，并讨论了该算法的收敛性，推广了已有文献的结果。 |
| 6. | In this thesis we mainly study degenerate - times integrated operater families and its applications to abstract cauchy problems , and we study the mean ergodicty theorems and the convergence rates of ergodic limits and approximation for k - regularized resolvent families
本文我们主要研究退化( r ) -次积分预解算子族及它对抽象cauchy问题的应用，并且研究k -正则预解算子族的平均遍历定理和遍历极限的收敛率。 |
| 7. | We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal - monotone mappings and prove the convergence of iterative sequences generated by the algorithms
为了利用-极大单调映象的预解算子技巧求解这类广义模糊变分包含，我们建立了一些新的含误差的迭代算法，并证明了由这类算法产生的迭代序列的收敛性。 |
| 8. | The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces . the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space , which also answers the open problem mentioned above , is studied on finite dimensional euclidean spaces . the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space
?引入了集值映射的-预解算子概念；借助于偏序理论证明了有限维欧氏空间中的单值映射可同秩lipschitz连续拓展；讨论了有限维欧氏空间中的极大-单调集值映射的-预解算子在什么条件下是整个空间上的一个lipschitz连续的单值映射，这一结果也在有限维空间上解决了上面提到的公开问题；还讨论了真泛函的-次微分映射的-预解算子在什么条件下是整个空间上的一个lipsehitz连续的单值映射。 |
| 9. | In three part we study the ergodicty for k - regularized resolvent operator families including the mean ergodicty , abel - ergodicity and cesaro - ergodicity . we prove the mean ergodic theorems of k - regularized resolvent operator families . and we give out the definition of abel - ergodicity and cesaro - ergodicity for k - regularized resolvent operator families . moreover , we give the relationship between the two kinds of ergodicity and their basic properties
我们证明了k -正则预解算子族的平均遍历定理。给出了k -正则预解算子族的abel遍历性和ces ro遍历性的定义，并证明了它们的相互关系和一些基本性质。 |
| 10. | In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation . we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion . finally , we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families
第四章我们主要研究了k -正则预解算子族的遍历极限的收敛率和逼近。借助于k -泛函和相对完备化，给出了k -正则预解算子族在0点的遍历性，证明了一些基本性质。我们也证明了k -正则预解算子族的遍历极限的收敛率和逼近的一些结果。 |
