Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments
In this paper, we use the coincidence degree theory to establish the existence and uniqueness of T-periodic solutions for the first-order neutral functional differential equation, with two deviating arguments, $$ (x(t)+Bx(t-delta))'= g_{1}(t,x(t-au_{1}(t))) +g...
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Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/117/abstr.html |
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doaj-e5a9e91688ec48ea9cc3d03341e549fd2020-11-24T21:27:53ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-012006117111Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating argumentsJinsong XiaoBingwen LiuIn this paper, we use the coincidence degree theory to establish the existence and uniqueness of T-periodic solutions for the first-order neutral functional differential equation, with two deviating arguments, $$ (x(t)+Bx(t-delta))'= g_{1}(t,x(t-au_{1}(t))) +g_{2}(t,x(t-au_{2}(t))) +p(t). $$ http://ejde.math.txstate.edu/Volumes/2006/117/abstr.htmlFirst orderneutralfunctional differential equationsdeviating argumentperiodic solutionscoincidence degree. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jinsong Xiao Bingwen Liu |
| spellingShingle |
Jinsong Xiao Bingwen Liu Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments Electronic Journal of Differential Equations First order neutral functional differential equations deviating argument periodic solutions coincidence degree. |
| author_facet |
Jinsong Xiao Bingwen Liu |
| author_sort |
Jinsong Xiao |
| title |
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| title_short |
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| title_full |
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| title_fullStr |
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| title_full_unstemmed |
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| title_sort |
existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2006-09-01 |
| description |
In this paper, we use the coincidence degree theory to establish the existence and uniqueness of T-periodic solutions for the first-order neutral functional differential equation, with two deviating arguments, $$ (x(t)+Bx(t-delta))'= g_{1}(t,x(t-au_{1}(t))) +g_{2}(t,x(t-au_{2}(t))) +p(t). $$ |
| topic |
First order neutral functional differential equations deviating argument periodic solutions coincidence degree. |
| url |
http://ejde.math.txstate.edu/Volumes/2006/117/abstr.html |
| work_keys_str_mv |
AT jinsongxiao existenceanduniquenessofperiodicsolutionsforfirstorderneutralfunctionaldifferentialequationswithtwodeviatingarguments AT bingwenliu existenceanduniquenessofperiodicsolutionsforfirstorderneutralfunctionaldifferentialequationswithtwodeviatingarguments |
| _version_ |
1725972757799239680 |