凸轮弹簧机构的平衡原理

国产 Z3040,Z3060等型号摇臂钻床及某些座标镗床,均采用了凸轮弹簧机构来平衡主轴及主轴箱.可是,过去未能得到该机构的平衡原理,设计凸轮曲线只是根据被平衡件的重量及行程,大轮节圆半径,弹簧进行试算,“凑数”,既不精确,又费时间.在中捷人民友谊厂的工人师傅和技术人员帮助下,我们从分析该机构着手,得到一般的平衡原理,建立了凸轮曲线的微分方程,用电子数字计算机求出了各类型号摇臂钻床的凸轮曲线函数     

非线性多值算子扰动的映射定理

本文讨论非线性多值算子的非紧扰动的映射定理,并给出非线性泛函方程ｚ∈Ｔ（ｘ）＋Ｆ（ｘ）可解性的最新结果,其中Ｔ是多值算子且（Ｔ＋１/ｎＩ）^－１是１－集压缩,而Ｆ是１－集压缩或γ－凝聚．所得的结果改善了［５,８,１２］中的主要结果     

On the Generalized Topological Degree for Perturbed Maximal Monotone Mappings

In recent years, F.E. Browder has constructed the topological degree for nonlinear monotone mappings.In the paper[1], we have introduced the classes of mappings of type (S)_ ~* and of type quasi-(S)_ ~* and the concept of weakly-demicontinuity and we have constructed the generalized topological degree for these classes of mappings. Some important results in [2] and [3] have     

非线性单调型映射的广义拓扑度

本文引入(S)_ ~*型和拟(S)_ ~*型映射以及弱一次连续性概念。首先证明了拟(S)_ ~*型映射包含拟有界伪单调、伪单调、拟有界广义伪单调、弱-次连续(P)型和弱-次连续(S)_ ~*型映射。然后,利用Galerkin逼近建立了(S)_ ~*型映射和拟(S)_ ~*型映射的广义拓扑度。所得结果包含了F.E.Browder的一些主要结果。     

ON THE TOPOLOGICAL DEGREE FOR THE SUM OF MAXIMAL MONOTONE OPERATOR AND GENERALIZED PSEUDOMONOTONE OPERATOR

Let X be a real separable reflexive Banach space, X~* its dual space, and let T: X→X~* be a maximal monotone operator, P: X→X~* a quasi-bounded generalized pseudomonotone operator or T-pseudomonotone operator. In this paper, We have constructed a topological degree for the operator(T+P). As a by product a surjectvity result is obtained. In particular, we have given a partially affirmative answer to a Browder's question by using a topological method(cf., Mathematical Developments arising from Hilbert Problems, Vol. 1(1976), 68-73 AMS)