Periodic solutions for generalized high-order neutral differential equation in the critical case |
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| Authors: | Jingli Ren Zhibo Cheng |
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| Institution: | a Department of Mathematics, Zhengzhou University, Zhengzhou 450001, PR China
b Department of Mathematics, Dresden University of Technology, Dresden 01069, Germany |
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| 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. |
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| Keywords: | 34K13 34K40 |
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