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INTERVAL OSCILLATION CRITERIA FOR HIGH ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH CONTINUOUS DEVIATING ARGUMENTS
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作者 Yu Xiuping (Dept. of Math, and Physics, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075024) Yang Hongyu (Dept. of Mechanic and Engineering, Zhangjiakou Occupation and Technology College, Zhangjiakou 075031) 《Annals of Differential Equations》 2006年第3期411-417,共7页
By introducing two integral operators and using the integral averaging technique, some new oscillation criteria are obtained for a class of high order neutral differential equation with continuous deviating arguments.... By introducing two integral operators and using the integral averaging technique, some new oscillation criteria are obtained for a class of high order neutral differential equation with continuous deviating arguments. These results are different from most known ones in the sense that they depend on the information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. 展开更多
关键词 interval oscillation criteria neutral differential equation high order continuous deviating arguments
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Further Oscillation Results for a Class of Hyperbolic Equations with Continuous Distributed Deviating Arguments
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作者 ZHANG Meng SONG Guo-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期145-151,共7页
A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which ... A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results. 展开更多
关键词 oscillation criteria hyperbolic equations continuous distributed deviating arguments
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Oscillatory Criteria for a Class of Boundary Value Problem of Nonlinear Hyperbolic Equations *L
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作者 王培光 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1999年第1期20-24,共5页
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was... Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments. Methods An averaging technique was used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Results and Conclusion The known results of oscillation of solutions for a class of boundary value problem of hyperbolic partial functional differential equations with discrete deviating arguments are generalized, and the oscillatory criteria of solutions for such equation with two kinds of boundary value conditions are obtained. 展开更多
关键词 continuous deviating arguments hyperbolic equation boundary value problem OSCILLATION
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