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OSCILLATION CRITERIA FOR SECOND ORDER DIFFERENCE EQUATIONS OF NEUTRAL TYPE WITH MIXED ARGUMENTS

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Annals of Differential Equations 2005年第2期21卷 198-202页

作者： SunShurong HanZhenlai schoolofmath.andsystemscience ShandongUniversityJinan250100／／SchoolofScienceJinanUniversityJinan250022 SchoolofScience JinanUniversityJinan250022／／InstituteofAppliedMath.NavalAeronauticalEngineeringInstituteYantai264001

In this paper, we establish some new oscillation criteria for second order difference equations of neutral type with mixed arguments. We extend some known oscillation criteria for second order difference equations.

关键词： oscillation neutral type mixed arguments

On 3-colorings of Plane Graphs

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Acta Mathematicae Applicatae Sinica 2004年第4期20卷 597-604页

作者： Bao-gangXu schoolofmath.&ComputerScience NanjingNormalUniversityNanjing210097China

In this paper, we prove that if G is a plane graph without 4-, 5- and 7-circuits and without intersecting triangles, then for each face f of degree at most 11, any 3-coloring of the boundary of f can be extended to G. This gives a positive support to a conjecture of Borodin and Raspaud which claims that each plane graph without 5-circuits and intersecting triangles is 3-colorable.

关键词： Plane graph circuit coloring

THE APOTP AND NON-WANDERING HOMEOMORPHISM

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Annals of Differential Equations 2005年第2期21卷 135-143页

作者： GuRongbao ShengYeqing schoolofmath.andComputationalScience AnhuiUniversityHefei230039

We introduce the concept of asymptotic pseudo orbit tracing property (APOTP) and obtain a new condition by the APOTP for which a homeomor-phism is a non-wandering homeomorphism.

关键词： asymptotic pseudo orbit tracing property non-wandering set chain recurrent set non-wandering homeomorphism

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

GLOBAL ASYMPTOTIC STABILITY FOR A NONLINEAR DELAY DIFFERENCE EQUATION

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Applied Mathematics(A Journal of Chinese Universities) 2002年第2期17卷 183-188页

作者： LiXianyi ZhuDeming schoolofmath.andPhys. NanhuaUniv.Hengyang421001China Dept.ofMath. EastChinaNormalUniv.Shanghai200062China[

In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained, xn+ 1=xn+xn- 1xn- 2 +a xnxn- 1+xn- 2 +a, n =0 ,1 ,..., where a∈ [0 ,∞ ) and the initial values x- 2 ,x- 1,x0 ∈ (0 ,∞ ) .As a special case,a conjecture by Ladas is confirmed.

关键词： nonlinear delay difference equation global asymptotic stability semicycle