Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7.
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Universidad Católica del Norte, Departamento de Matemáticas
2013
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oai:scielo:S0716-091720130004000062014-09-09Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delayArdjouni,AbdelouahebDjoudi,Ahcene Positive periodic solutions nonlinear neutral differential equations fixed point theorem In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400006en10.4067/S0716-09172013000400006 |
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Ardjouni,Abdelouaheb Djoudi,Ahcene |
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Ardjouni,Abdelouaheb Djoudi,Ahcene Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| author_facet |
Ardjouni,Abdelouaheb Djoudi,Ahcene |
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Ardjouni,Abdelouaheb |
| title |
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| title_short |
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| title_full |
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| title_fullStr |
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| title_full_unstemmed |
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| title_sort |
existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay |
| description |
In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7. |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2013 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400006 |
| work_keys_str_mv |
AT ardjouniabdelouaheb existenceofpositiveperiodicsolutionsfortwotypesofsecondordernonlinearneutraldifferentialequationswithvariabledelay AT djoudiahcene existenceofpositiveperiodicsolutionsfortwotypesofsecondordernonlinearneutraldifferentialequationswithvariabledelay |
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1755990046489444352 |