On the robust stability of stationary solutions to a class of Mathieu-type equations Full article
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Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2023, Volume: 44, Number: 3, Pages: 883-895 Pages count : 13 DOI: 10.1134/s1995080223030113 | ||||
| Tags | Mathieu-type equations, asymptotic stability, estimates for solutions, attraction sets | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We consider a class of nonlinear ordinary differential equations of the second order with parameters. We establish conditions for perturbations of the coefficients of the equations under which the zero solutionis asymptotically stable. Estimates forattraction sets of the zero solution and estimates of the stabilization rate of solutions at infinity are obtained. Using these results, theorems on the robust stability of stationary solutions are proven
Cite:
Demidenko G.V.
, Myagkikh K.S.
On the robust stability of stationary solutions to a class of Mathieu-type equations
Lobachevskii Journal of Mathematics. 2023. V.44. N3. P.883-895. DOI: 10.1134/s1995080223030113 WOS Scopus РИНЦ OpenAlex
On the robust stability of stationary solutions to a class of Mathieu-type equations
Lobachevskii Journal of Mathematics. 2023. V.44. N3. P.883-895. DOI: 10.1134/s1995080223030113 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 5, 2022 |
| Accepted: | Dec 28, 2022 |
| Published print: | May 18, 2023 |
| Published online: | Jun 26, 2023 |
Identifiers:
| Web of science: | WOS:001023183400001 |
| Scopus: | 2-s2.0-85163008464 |
| Elibrary: | 53987219 |
| OpenAlex: | W4382054075 |
Citing:
| DB | Citing |
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| Scopus | 1 |