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| Title: | Boundedness in functional dynamic equations on time scales | |
| Author (s): | Akin, Elvan Raffoul, Youssef N. | |
| Department/Lab Affiliations: | Mathematics & Statistics | |
| Keywords: | Lyapunov functionals boundedness functional dynamic equations time scales | |
| Issue Date: | 2006 | |
| Publisher: | Hindawi | |
| Citation: | Elvan Akin-Bohner and Youssef N. Raffoul, “Boundedness in functional dynamic equations on time scales,” Advances in Difference Equations, vol. 2006, Article ID 79689, 18 pages, 2006. | |
| Abstract: | Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals. | |
| Type: | Article - Journal text | |
| In Title: | Advances in Difference Equations | |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: | |
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| title | Boundedness in functional dynamic equations on time scales | |
| contributor.author | Akin, Elvan | |
| contributor.author | Raffoul, Youssef N. | |
| contributor.deptlab | Mathematics & Statistics | |
| contributor.sponsor | Association of Women in Mathematics | |
| contributor.sponsor | University of Missouri Research Board | |
| subject | Lyapunov functionals | |
| subject | boundedness | |
| subject | functional dynamic equations | |
| subject | time scales | |
| date.issued | 2006 | |
| publisher | Hindawi | |
| identifier.citation | Elvan Akin-Bohner and Youssef N. Raffoul, “Boundedness in functional dynamic equations on time scales,” Advances in Difference Equations, vol. 2006, Article ID 79689, 18 pages, 2006. | |
| identifier.pub.URI | ||
| description.abstract | Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals. | |
| type | Article - Journal | |
| type.DCMIType | text | |
| type.status | Final version | |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. | |
| rights.URI | ||
| relation.isPartOf | Advances in Difference Equations | |
| date.accessioned | 2008-05-09T19:33:11Z | |
| date.available | 2008-05-09T19:33:14Z | |
| identifier.persist.URI | ||
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