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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation [Formula: see text] will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several exa...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6323112/ https://www.ncbi.nlm.nih.gov/pubmed/30679896 http://dx.doi.org/10.1186/s13660-018-1949-7 |
Sumario: | Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation [Formula: see text] will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several examples are also given to illustrate the applications of these results. |
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