Stability for impulsive delay differential equations
In this paper, the stability for the scalar impulsive delay differential equation y ′ ( t ) + a ( t ) y ( t ) + F ( t , y ( · ) ) = 0 , t ⩾ 0 , t ≠ τ k , y ( τ k + ) - y ( τ k ) = I k ( y ( τ k ) ) , k = 1 , 2 , … , lim k → ∞ τ k = ∞ , where delay arguments may be bounded or unbounded is investigate...
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| Veröffentlicht in: | Nonlinear analysis 2005-10, Vol.63 (1), p.66-80 |
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| container_title | Nonlinear analysis |
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| creator | Yan, Jurang |
| description | In this paper, the stability for the scalar impulsive delay differential equation
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k
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1
,
2
,
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where delay arguments may be bounded or unbounded is investigated. Some new stability theorems are established which improve and extend several known results in the literature. |
| doi_str_mv | 10.1016/j.na.2005.05.001 |
| format | Article |
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k
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where delay arguments may be bounded or unbounded is investigated. Some new stability theorems are established which improve and extend several known results in the literature.</description><subject>Delay differential equation</subject><subject>Exact sciences and technology</subject><subject>Impulse effect</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Nonlinear</subject><subject>Ordinary differential equations</subject><subject>Sciences and techniques of general use</subject><subject>Stability</subject><issn>0362-546X</issn><issn>1873-5215</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLAzEUhYMoWKt7l7PR3YzJZPJyJ8UXFFyo4C7c5gEp6UybzBT6752hBVfCgQuX75z7QOiW4Ipgwh_WVQtVjTGrJmFyhmZEClqymrBzNMOU1yVr-M8lusp5jUdCUD5DzWcPqxBDfyh8l4qw2Q4xh70rrItwKGzw3iXX9gFi4XYD9KFr8zW68BCzuznVOfp-ef5avJXLj9f3xdOyNJSxvgQOimBqJVNWrHxTG0qUB0tXnMjGkBqkYFh5IaTgnAKXlCk6drEVSo37zdH9MXebut3gcq83IRsXI7SuG7KuFadKSjmC-Aia1OWcnNfbFDaQDppgPb1Hr3ULenqPnoTJaLk7ZUM2EH2C1oT85xNY0lpM3OORc-Oh--CSzia41jgbkjO9tl34f8gviQt4BA</recordid><startdate>20051001</startdate><enddate>20051001</enddate><creator>Yan, Jurang</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20051001</creationdate><title>Stability for impulsive delay differential equations</title><author>Yan, Jurang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-a6a9103d859d7bf42c319fad3b6184c12a87509f7787663a6835932a80d799173</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Delay differential equation</topic><topic>Exact sciences and technology</topic><topic>Impulse effect</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Nonlinear</topic><topic>Ordinary differential equations</topic><topic>Sciences and techniques of general use</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yan, Jurang</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yan, Jurang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability for impulsive delay differential equations</atitle><jtitle>Nonlinear analysis</jtitle><date>2005-10-01</date><risdate>2005</risdate><volume>63</volume><issue>1</issue><spage>66</spage><epage>80</epage><pages>66-80</pages><issn>0362-546X</issn><eissn>1873-5215</eissn><coden>NOANDD</coden><abstract>In this paper, the stability for the scalar impulsive delay differential equation
y
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(
t
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+
a
(
t
)
y
(
t
)
+
F
(
t
,
y
(
·
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=
0
,
t
⩾
0
,
t
≠
τ
k
,
y
(
τ
k
+
)
-
y
(
τ
k
)
=
I
k
(
y
(
τ
k
)
)
,
k
=
1
,
2
,
…
,
lim
k
→
∞
τ
k
=
∞
,
where delay arguments may be bounded or unbounded is investigated. Some new stability theorems are established which improve and extend several known results in the literature.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.na.2005.05.001</doi><tpages>15</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0362-546X |
| ispartof | Nonlinear analysis, 2005-10, Vol.63 (1), p.66-80 |
| issn | 0362-546X 1873-5215 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_29639888 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Delay differential equation Exact sciences and technology Impulse effect Mathematical analysis Mathematics Nonlinear Ordinary differential equations Sciences and techniques of general use Stability |
| title | Stability for impulsive delay differential equations |
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