Title | On a method for estimating the solutions of quasilinear systems |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Martynyuk, AA |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2015.02.019 |
Issue | 2 |
Section | Mathematics |
Pagination | 19-23 |
Date Published | 2/2015 |
Language | Russian |
Abstract | To estimate the solutions of quasilinear systems of equations of perturbed motion, an estimation method is proposed on the basis of a nonlinear integral inequality. |
Keywords | nonlinear integral inequality, perturbed motion, quasilinear system |
References:
- Bellman R. Stability theory of differential equations, New York: Dover, 1953.
- Coddington E. A., Levinson N. Theory of ordinary differential equations, New York: McGraw-Hill, 1955.
- Rao M. R. M. Ordinary differential equations, New Delhi-Madras: Affiliated East-West Press, 1980.
- Louartassi Y., El Mazoudi El H., Elalami N. Applied Mathematical Sciences, 2012, 13, No 6: 621–628.
- Martyniuk A. A., Gutovskii R. Integral inequalities and stability of motion, Kiev: Nauk. Dumka, 1979 (in Russian).
- Martyniuk A. A., Lakshmikantam V., Lila S. Stability of motion: Method of integral inequalities, Kiev: Nauk. Dumka, 1989 (in Russian).
- Pachpatte B. G. Inequalities for differential and integral equations, San Diego: Academic Press, 1998.