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GLOBAL EXISTENCE AND BLOW UP FOR A PARABOLIC SYSTEM WITH NONLINEAR BOUNDARY CONDITION

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Applied Mathematics(A Journal of Chinese Universities) 2004年第3期19卷 272-278页

作者：徐龙封 schoolofmath.andphys.AnhuiUniversityofTechnology Maanshan243002China.

In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. MR Subject Classification 35B40 - 35K55 Keywords nonnegative solution - blow up - nonlinear boundary conditions - parabolic system Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc).

关键词： MR Subject Classification 35B40 35K55

ON A TWO-POINT BOUNDARY VALUE PROBLEM OF DUFFING TYPE EQUATION WITH DIRICHLET CONDITIONS

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Applied Mathematics(A Journal of Chinese Universities) 1999年第2期14卷 131-136页

作者： HuangWenhua ShenZuhe Dept.ofMath.andphys. WuxiUniv.ofLightIndustryWuxi214036. Dept.ofMath. NanjingUniv.Nanjing210093.

Abstract An existence and uniqueness result concerned with the Dirichlet boundary value problem u″+cu′+g(t,u)=e(t),u(0)=u(π)=0 is offered.

关键词： 1991 MR Subject Classification 34B15

Geometrical Moir Methodand Its Application

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Semiconductor Photonics and Technology 2000年第1期6卷 54-58页

作者： ZHOUCan－lin LIUYu－qin 等 Dept.ofmath andphys.ShandongUniversityJinan250061CHN Dept.ofmath andphys.ShandongUniversityJinan

A geometrical moir method for displaying directly isochromatics and isoclinics of a diametrically pressed circular disk is presented. It is demonstrated that by using two identical or different Wulff nets (or grids) not only the stress fields of a circular disk can be displayed, but the u -and v -displacement fields can also be produced.

关键词： Displacement fields Geometrical moir method Stress fields

COEFFICIENT MULTIPLIERS ON MIXED NORM SPACES

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Applied Mathematics(A Journal of Chinese Universities) 2004年第3期19卷 252-256页

作者：岳修奎 Dept.ofMath.andphys. ShandongInstituteofArchitectureandEngineeringShandong250014China

This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0 详细信息

This paper describes the characteristics of the coefficient multipliers of mixed norm spaces A p,q,α with 0

关键词： MR Subject Classification 30D 30H05 46E

HIGH ORDER ONE-STEP A-STABLE EXPONENTIALLY FITTED METHODS

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Applied Mathematics(A Journal of Chinese Universities) 1999年第3期14卷 359-365页

作者： YangFengiian ChenXinming LuoYiping Dept.ofMath. ZhongkaiAgrotechnicalCollegeGuangzhou510225. Dept.ofMath.andphys. WuyiUnivezsityJiangmenGuangdong529020. Dept.ofBasis XiangtanInstituteofMachineryandElectridtyXiangtan411101.

In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ith s+ 1 param eters,w here sis the order of *** necessary and sufficient conditions for these m ethods to be A-stable and exponentially fitted is *** ore,a class ofA-stable 2 param eters hybrid one-step m ethods oforderatleast 8 are constructed,w hich use 4th order *** m ethods are exponentially fitted atq0 if and only if its fitted function f(q) satisfies f(q0)= ***,an A-stable exponentially fitted m ethod oforder 8 is obtained.

关键词： Multiderivative hybrid m ethod exponentially fitted m ethod A-stability.