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| Title: | Elements of stability theory of A.M. Liapunov for dynamic equations on time scales |
| Author (s): | Bohner, Martin Martynyuk, A.A. |
| Department/Lab Affiliations: | Mathematics & Statistics |
| Keywords: | Dynamic equation on time scales Liapunov functions asymptotic stability nonlinear integral inequality stability uniform stability |
| Issue Date: | 2007 |
| Publisher: | Infor Math Publishing Group |
| Citation: | M. Bohner and A. A. Martynyuk. Stability theory of A. M. Liapunov for dynamic equations on time scales. Nonlinear Dyn. Syst. Theory, 7(3):225–251, 2007. |
| Abstract: | Stability of dynamic equations on time scales is investigated in this paper. The main results are new conditions for stability, uniform stability, and uniform asymptotic stability of quasilinear and nonlinear systems. |
| Type: | Article - Journal text |
| In Title: | Nonlinear Dynamics and Systems Theory |
| 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. Policy Unknown FULL COPYRIGHT INFORMATION: |
| Link to this page: |
| title | Elements of stability theory of A.M. Liapunov for dynamic equations on time scales |
| contributor.author | Bohner, Martin |
| contributor.author | Martynyuk, A.A. |
| contributor.deptlab | Mathematics & Statistics |
| subject | Dynamic equation on time scales |
| subject | Liapunov functions |
| subject | asymptotic stability |
| subject | nonlinear integral inequality |
| subject | stability |
| subject | uniform stability |
| date.issued | 2007 |
| publisher | Infor Math Publishing Group |
| identifier.citation | M. Bohner and A. A. Martynyuk. Stability theory of A. M. Liapunov for dynamic equations on time scales. Nonlinear Dyn. Syst. Theory, 7(3):225–251, 2007. |
| identifier.pub | http://www.e-ndst.kiev.ua/v7n3/1(20)a.pdf |
| description.abstract | Stability of dynamic equations on time scales is investigated in this paper. The main results are new conditions for stability, uniform stability, and uniform asymptotic stability of quasilinear and nonlinear systems. |
| type | Article - Journal |
| type.DCMIType | text |
| type.status | Postprint |
| 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 | Policy Unknown |
| relation.isPartOf | Nonlinear Dynamics and Systems Theory |
| date.available | 2008-07-21T18:13:00Z |
| identifier.persist.URI |