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《Journal of Mathematics》 2006-04
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NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF SYSTEMS OF PARABOLIC EQUATIONS WITH DELAYS

LIU Xia-wen~ 1,2 , LIU Wei-an~1 (1.School of Math. and Statistics, Wuhan University, Wuhan, 430072, China) (2.Dept.of Information and Math.Science,Hunan University of Technology, Zhuzhou 412008,China)  
In this paper, we discuss oscillatory property of a class of systems of differential parabolic equations with delays. We use averaging technique and Green’s formula in order to change the problem into the oscillation of systems of functional differential equations. We obtain a necessary and sufficient condition for the oscillation of their solutions, which is easy to verify. We explain the main results with examples.
【Fund】: 国家自然科学基金资助项目
【CateGory Index】: O175.26
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