Integral inequalities and stability of an equilibrium state on a time scale-Reference-Cited by-同舟云学术

Integral inequalities and stability of an equilibrium state on a time scale

Published:2011-04 Issue:11 Volume:62 Page:1729-1740
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Luk’yanova T. A.,Martynyuk A. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-011-0463-6.pdf

Reference7 articles.

1. S. S. Dragomir, The Gronwall Type Lemmas and Applications, Tipografia Univ. Timisoara, Timisoara (1987).

2. M. Bohner and A. A. Martynyuk, “Elements of stability theory of A. M. Liapunov for dynamic equations on time scales,” Prikl. Mekh., 43, No. 9, 3–27 (2007); English translation: Nonlinear Dyn. Syst. Theory, 7, No. 3, 225–251 (2007).

3. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, (2001).

4. D. B. Pachpatte, “Explicit estimates on integral inequalities with time scale,” J. Inequal. Pure Appl. Math., 7, No. 4 (2006).

5. M. Bohner, “Some oscillation criteria for first order delay dynamic equations,” Far East J. Appl. Math., 18, No. 3, 289–304 (2005).

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