1996 Vol. 17, No. 2

Display Method:
Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces
Zhang Shisheng, Wang Fan
1996, 17(2): 95-103.
Abstract(2245) PDF(550)
Abstract:
By using partial order method. some existing theorems of solutions for two-point bouniary value problem of second order ordinary differenlial equations in Banach spaces are given.
The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates
Cheng Changiun, Yang Xiao
1996, 17(2): 105-114.
Abstract(2328) PDF(572)
Abstract:
On foe basis of the Kirchoff-Kármán hypothses for the nonlinear bending of thin plates, the three kinds of boundary value problems of nonlinear analysis for perforated fhin plates are presented under the differenr in-plane boundary conditions and the corresponding generalized varialional principles ...
Analysis of Complex Stress Intensities for Cracked Laminates
Hu Hurang, Wu Chengping
1996, 17(2): 115-126.
Abstract(2323) PDF(600)
Abstract:
Classical plate theory has been used to find out interfacial stress intensity factors in composite laminates. By using a well-known relation between the crack-tip energy release rate and the complex stress intensity factor. a closed-form solution for complex. Stress intensity in terms of external lo...
Forming Limit during Superglatic Deformation of Sheet Metals
Du Zhixiao, Li Miaoquan, Liu Mabao, Wu Shichun
1996, 17(2): 127-132.
Abstract(2271) PDF(672)
Abstract:
In the present paper, a thermo-viscoplastic damage potential and Hill's normal anisolropy(isotropy in plane).yield criterion to be quadratic in the stress components are combined to describe the interaction process of damage and instability during superplastic deformation, based on the kinetic equat...
Power Vectors Combinatorial Vector Numbers and Its Theory of Functions
Yang Wenxiong
1996, 17(2): 133-138.
Abstract(2839) PDF(559)
Abstract:
This paper syggests the power vector and the vector power series. The vector power series is a "Combinatorial Vector Number" which is composed of a real number and a certain vector. Combinatorial rector variable and its functions have an important meaning. They have the fundamental operations of ari...
Fixed Point with Orbital Diametral Function
B. K. Sharma, B. S. Thakur
1996, 17(2): 139-143.
Abstract(1908) PDF(520)
Abstract:
A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy & Roger's type contractive con...
On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load
Jie Min
1996, 17(2): 145-149.
Abstract(2597) PDF(504)
Abstract:
Liapunov's 2nd method is applied to analyse the Stability of a ciamped poleorthotropic round plate acted by a radial axisymmetrical impact load on its periphery. The analysis is carried cut under the assumptions of small deflection and elasticity The impact load is supposed to have a step impulsive ...
The Property of Nonwandering Operator
Tian Lixin, Lu Dianchen
1996, 17(2): 151-156.
Abstract(1965) PDF(495)
Abstract:
In this paper. we stady the nonwandering operator, which is a linear operator with chaos character and is in intnite dimensionol linear space. We give the hypercyclic bacomposition on the compact set of nonwandering operators.
On Grammatical Complexity of a Class of Attractors
Lu Qinhe
1996, 17(2): 157-162.
Abstract(1989) PDF(449)
Abstract:
In this paper, we discuss the grammatical complexity of the Feigenbaum attractor and the Feigenbaum attractors in windows. We prove that the languages of these attractors are not conlexl-free language(CFL) but context-sensitive one(CSL).
Periodic Heat Transfer in the Fins with Variable Thermal Parameters
Yang Xiangxiang, He Hongzhou
1996, 17(2): 163-173.
Abstract(2184) PDF(554)
Abstract:
A Study is made on the periodic heat transfer in the fins with variable thermal parameters. The method of small parameter perturbation is adopted. Numerical calculation is solved noniteratively by shooting method and superposition method. For afin of certain shape with periodic change of fin base te...
Robust Control via State Feedback for a Class of Uncertain Bilinear Systems
Chen Songlin, Zhu Zuci
1996, 17(2): 175-179.
Abstract(2615) PDF(674)
Abstract:
This paper is concerned with the problem of designing a salabilizing controller for a class of uncertain bilinear systems. The uncertainties in the systems must satisfy matching condition and their bounds should be known. The so-called imyroved gpproach for stability analysis of nonlinear systems is...
A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition
Bai Qingyuan, Lin Pengcheng
1996, 17(2): 181-188.
Abstract(2162) PDF(541)
Abstract:
In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an Il'in type d...