On Systems of Boundary Value Problems for Differential Inclusions

Herein we consider the existence of solutions to second-order, two-point boundary value problems （BVPs） for systems of ordinary differential inclusions. Some new Bernstein-Nagumo conditions are presented that ensure a priori bounds on the derivative of solutions to the differential inclusion. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of BVPs for differential inclusions. The new conditions allow of the treatment of systems of BVPs without growth restrictions.     

PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

In this paper, we investigate the periodic boundary value problems for nonlinear first order functional differential equations. By establishing a new comparison result, criteria on the existence of maximal and minimal solutions are obtained.     

EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES

§ 1　Introduction and preliminariesThe equations related to the p- L aplacian operatorΔp have been studied in differentaspects[1— 4 ] sinceΔp arises from a variety of physical phenomena such as non Newtonianfluids,reaction- diffusion problems,etc.In this paper,the following equation(1) which canbe regarded as an extension of those in[1— 4 ]will be discussed:- div(α(gradu) ) +|u(x) |p- 2 u(x) +g(x,u(x) ) =f (x)　 a.e. onΩ-〈n,α(gradu)〉∈βx(u(x) ) ,a.e.onΓ . (1)　　More details can b…     

SiO_2-Al_2O_3担载的三钌乙烯酮原子簇化合物[PPN]_2[Ru_3(CO)_9(CCO)]的红外研究

[PPN]_2[Ru_3(CO)_9(CCO)]负载于SiO_2-Al_2O_3表面后其红外光谱显示了2124,2088,2060,2040和2010cm(-1)几个谱带,认为这是由于[Ru_3(CO)_9(CCO)]~(2-)同SiO_2-Al_2O_3的Si(OH)Al基团(3620 cm~(-1))反应生成了H_2Ru_3(CO)_9(CCO)/SiO_2-Al_2O_3     

Ultrasonic spectrum characterization of pig''''s pathological liver tissues

I.IntroductionCurrent1ythemajorityofcommcrcialultrasonicscannersutilizeon1ytheamplitudcinformationcarriedbytheechoesbackscatteredfrombiologicaltissuestoproduccandriageintimedomain.Potentia1lyusefulinformationinfrequencyd0maincontainedbytheechoesiscomp1ete1ydiscarded.Theu1trasonicspectrumanalysistechnique,whichcancompensatethislack,canpresentsomeusefulparametcrsinfrcqucncydomainusedinultrasonictissuecharacterization.Onthisbackgroud,asericsofworksonthisficldhavcbeendoneduringthepastdecadell-5l.…     

纳米结构氧化薄膜的固态多核核磁共振研究(英文)

Knowledge of the structure of thin oxide films is very important for electrochemistry, microelectronics and catalyses. Supported oxide catalysts （supported thin oxide films） are used extensively in the petroleum, chemical and pollution control industries as catalysts for a wide range of chemically important transformations.     

达兰贝尔函数方程

Ⅰ 引言 达兰贝尔函数方程(1) 2f(x)f(y)=f(x y) f(x-y)有悠久历史,可回溯到达兰贝尔(d'Alembert),泊松(Poisson)和皮卡(Picard)。这个方程在各种欧氏几何和非欧几何的两个矢量的求和中起着重要作用。 在方程(1)中,被预定为定义在全体实数上的连续实值函数。在这个假定下,(1)的解只     

拉曼散射研究微尺寸圆锥形状的GeSi合金薄膜的应力(英文)

pacc:7830,7850C Wepresentthemicro-Ramanstudyof curvedGexSi1-x/GeySi1-yheterostructure,and foundthestrainofthecurvedthinlayerispropor tionaltothecurvature,i.e.inverselyproportional tothediameter.TheopticalandelectricpropertiesofSi1-x GexalloygrownonSisubst…     

ANALYTIC SOLUTIONS OF AN ITERATIVE EQUATION WITH FIRST ORDER DERIVATIVE

This paper is concerned with a nonlinear iterative equation with first order derivative. By construction a convergent power series solution, analytic solutions for the original equation are obtained.     

THE POINCAR BIFURCATION OF QUADRATIC SYSTEMS HAVING A REGION CONSISTING OF PERIODIC CYCLES BOUNDED BY A HYPERBOLA AND AN ARC OF EQUATOR

The usual bifureation problems oeeurred in the study of the Planar differential systems having a region eonsisting of Periodie eycles are as follows:15 there any closed orbit whieh generates limit eyeles after a small perturbation?How many limit eyel