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《Chinese Journal of Engineering Mathematics》 2007-04
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Oscillation Criteria for Systems of a Class of Nonlinear Impulsive Neutral Delay Parabolic Equations

LUO Li-ping, OUYANG Zi-gen (Department of Mathematics, Hengyang Normal University, Hengyang 421008; Department of Mathematics, Nanhua University, Hengyang 421001)  
This paper studies the oscillation of solutions of the systems of a class of nonlinear impulsive neutral delay parabolic equations. By using first order impulsive neutral delay differential inequalities, some sufficient conditions for the oscillation of such systems are obtained under two kinds of boundary value conditions. These results fully reflect the influence of impulsive and delay in oscillation.
【Fund】: 国家自然科学基金(10471086);; 湖南省自然科学基金(05JJ40008)
【CateGory Index】: O175.26
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【References】
Chinese Journal Full-text Database 1 Hits
1 LUO Li-ping,YANG Liu,WANG Yan-qun(Department of Mathematics,Hengyang Normal University,Hengyang 421008,China);Oscillation of systems of impulsive delay hyperbolic equations with high order Laplace operator[J];Journal of Yunnan University(Natural Sciences Edition);2009-01
【Citations】
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1 ZHANG Li-qin(Department of Mathematics, Shandong Normal University, Jinan 250014, P. R. China)(E-mdil: xfu public.in.sd.cn);Oscchtion Criteria for Hyperbolic Partial Differential Equations with Fixed Moments of Impulse Effects[J];ACTA MATHEMATICA SINICA;2000-01
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【Co-citations】
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1 LUO Li-ping (Department of Mathematics,Hengyang Normal University,Hunan,421008);Oscillation Theorem of Systems of Quasilinear Impulsive Delay Hyperbolic Equations[J];东北数学(英文版);2007-03
2 XU Zhen-chang(Guangdong Communication Polytechnic,Guangzhou510650,China);Oscillations of First Order Nonlinear Neutral Differential Equations[J];College Mathematies;2005-05
3 LUO Li-ping(Dept.of Math.,Hengyang Normal University,Hengyang 421008,China);Oscillation of solutions to a class of impulsive neutral parabolic equation systems[J];Journal of Lanzhou University of Technology;2007-06
4 LUO Li-ping,YANG Liu (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008);Oscillation of Nonlinear Impulsive Neutral Parabolic Equations with Higher Order Laplace Operator[J];Chinese Journal of Engineering Mathematics;2009-04
5 LUO Li-ping1,OUYANG Zi-gen2(1.Dept.of Mathematics,Hengyang Normal University,Hengyang 421008,China;2.Dept.of Mathematics,Nanhua University,Hengyang 421001,China);Oscillation theorem of a class of nonlinear impulsive delay parabolic equations[J];Journal of Harbin Institute of Technology;2009-03
6 CUI Shu-li,XU Zhi-ting(School of Mathematical Science,South China Normal University,Guangzhou 510631,China);Forced oscillation for boundary value problem of a class of impulsive delay parabolic differential system[J];Journal of Natural Science of Heilongjiang University;2006-04
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10 LUO Li-ping1,OUYANG Zi-gen2(1.Department of Mathematics,Hengyang Normal University,Hengyang 421008,Hunan Province,China;2.Department of Mathematics,Nanhua University,Hengyang 421001,Hunan Province,China);Oscillation of Nonlinear Impulsive Neutral Delay Parabolic Partial Differential Equations[J];Journal of Jilin University(Science Edition);2007-01
【Co-references】
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1 LIU An-ping 1,YU Wen-hui 1, DING Yan-hong 2 (1.Department of Mathematics & Physics,China University of Geosciences,Wuhan 430074,China; 2.Hubei Taxation School,Wuhan 430064,China);Necessary and sufficient condition for oscillations of nonlinear parabolic partial differential equations[J];Pure and Applied Mathematics;2002-01
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【Secondary Citations】
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