On a method for estimating the solutions of quasilinear systems

Authors

  • A.A. Martynyuk

DOI:

https://doi.org/10.15407/dopovidi2015.02.019

Keywords:

nonlinear integral inequality, perturbed motion, quasilinear system

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.

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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.

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Published

08.01.2025

How to Cite

Martynyuk, A. (2025). On a method for estimating the solutions of quasilinear systems . Reports of the National Academy of Sciences of Ukraine, (2), 19–23. https://doi.org/10.15407/dopovidi2015.02.019

Issue

No. 2 (2015): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

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