On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition
<p/> <p>By defining a new terminology, scatter degree, as the supremum of graininess functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic boundary value problem on time scales. We do not need any growth restrictions on nonlinear term of dynami...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/378686 |
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doaj-b39933e758d24747a54cc156de8662b02020-11-24T21:14:45ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111378686On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips ConditionAn YulianLuo Hua<p/> <p>By defining a new terminology, scatter degree, as the supremum of graininess functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic boundary value problem on time scales. We do not need any growth restrictions on nonlinear term of dynamic equation besides a barrier strips condition. The main tool in this paper is the induction principle on time scales.</p> http://www.advancesindifferenceequations.com/content/2011/378686 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
An Yulian Luo Hua |
| spellingShingle |
An Yulian Luo Hua On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition Advances in Difference Equations |
| author_facet |
An Yulian Luo Hua |
| author_sort |
An Yulian |
| title |
On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition |
| title_short |
On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition |
| title_full |
On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition |
| title_fullStr |
On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition |
| title_full_unstemmed |
On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition |
| title_sort |
on the existence of solutions for dynamic boundary value problems under barrier strips condition |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>By defining a new terminology, scatter degree, as the supremum of graininess functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic boundary value problem on time scales. We do not need any growth restrictions on nonlinear term of dynamic equation besides a barrier strips condition. The main tool in this paper is the induction principle on time scales.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2011/378686 |
| work_keys_str_mv |
AT anyulian ontheexistenceofsolutionsfordynamicboundaryvalueproblemsunderbarrierstripscondition AT luohua ontheexistenceofsolutionsfordynamicboundaryvalueproblemsunderbarrierstripscondition |
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1716746328886738944 |