Weakly Perturbed Systems of Linear Integro-Dynamic Equations on Time Scales

Weakly Perturbed Systems of Linear Integro-Dynamic Equations on Time Scales

We obtain the conditions of bifurcation from the point ε = 0 for the solutions of weakly perturbed systems of linear integro-dynamic equations on a segment [ a , b ] of any time scale. We propose a convergent iterative procedure for finding solutions in the form of a segment of the Laurent series.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.265 (4), p.561-576
Hauptverfasser: Bondar, I. A., Nesterenko, O. B., Strakh, O. P.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Mathematics
Mathematics and Statistics
Segments
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Zusammenfassung:We obtain the conditions of bifurcation from the point ε = 0 for the solutions of weakly perturbed systems of linear integro-dynamic equations on a segment [ a , b ] of any time scale. We propose a convergent iterative procedure for finding solutions in the form of a segment of the Laurent series.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06074-6