Delay dynamic equations with stability
<p/> <p>We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/094051 |
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doaj-56902e9d38ef4604a51f841b0d9198f2 |
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Article |
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doaj-56902e9d38ef4604a51f841b0d9198f22020-11-24T21:45:01ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061094051Delay dynamic equations with stabilityKrueger Robert JPeterson Allan CAnderson Douglas R<p/> <p>We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of a nonlinear delay dynamic equation is asymptotically stable, for arbitrary time scales.</p> http://www.advancesindifferenceequations.com/content/2006/094051 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Krueger Robert J Peterson Allan C Anderson Douglas R |
| spellingShingle |
Krueger Robert J Peterson Allan C Anderson Douglas R Delay dynamic equations with stability Advances in Difference Equations |
| author_facet |
Krueger Robert J Peterson Allan C Anderson Douglas R |
| author_sort |
Krueger Robert J |
| title |
Delay dynamic equations with stability |
| title_short |
Delay dynamic equations with stability |
| title_full |
Delay dynamic equations with stability |
| title_fullStr |
Delay dynamic equations with stability |
| title_full_unstemmed |
Delay dynamic equations with stability |
| title_sort |
delay dynamic equations with stability |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2006-01-01 |
| description |
<p/> <p>We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of a nonlinear delay dynamic equation is asymptotically stable, for arbitrary time scales.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2006/094051 |
| work_keys_str_mv |
AT kruegerrobertj delaydynamicequationswithstability AT petersonallanc delaydynamicequationswithstability AT andersondouglasr delaydynamicequationswithstability |
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1725907263227428864 |