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Periodic solutions for generalized high-order neutral differential equation in the critical case
Authors:Jingli Ren  Zhibo Cheng
Affiliation:a Department of Mathematics, Zhengzhou University, Zhengzhou 450001, PR China
b Department of Mathematics, Dresden University of Technology, Dresden 01069, Germany
Abstract:By applying Mawhin’s continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions for a generalized high-order neutral differential equation in the critical case. Moreover, an example is given to illustrate the results.
Keywords:34K13   34K40
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