Periodic first order linear neutral delay differential equations |
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Institution: | 1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;2. Department of Engineering Sciences, Faculty of Technology and Engineering, University of Guilan, East of Guilan, Rudsar, Iran;1. Institute of Cybernetics at TUT, Akadeemia tee 21, 12618, Tallinn, Estonia;7. LUNAM, IRCCyN, UMR CNRS 6597, 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 3, France;71. Dipartimento di Ingegneria Informatica Automatica e Gestionale Antonio Ruberti, Universitá di Roma La Sapienza, Via Ariosto 25, 00185, Italy |
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Abstract: | Some new asymptotic and stability results are given for a first order linear neutral delay differential equation with periodic coefficients and constant delays. The asymptotic behavior of the solutions and the stability of the trivial solution are described by the use of an appropriate real root of an equation, which is in a sense the corresponding characteristic equation. |
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