OSCILLATION OF SOLUTIONS TO SECOND ORDER NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS  

OSCILLATION OF SOLUTIONS TO SECOND ORDER NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

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作  者:Run Xu,Fanwei Meng (Dept.of Math.,Qufu Normal University,Qufu 273165,Shandong) 

出  处:《Annals of Differential Equations》2011年第4期495-504,共10页微分方程年刊(英文版)

基  金:supported by the National Natural Science Foundation of China (10771118);the Fund of Subject for Doctor of Ministry of Education (20103705110003);the Natural Science Foundations of Shandong Province (ZR2009AM011 and ZR2009AL015)

摘  要:Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.

关 键 词:partial differential equations neutral term oscillatory criteria second order generalized Riccati transformation 

分 类 号:O175[理学—数学]

 

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