Syngularly perturbed nonlinear systems

Authors

  • Олександр Олексійович Покутний Institute of mathematics of National Academy of Sciences, Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2012.4838

Keywords:

Singular system, exponential dichotomy, normally-resolvable operator

Abstract

Necessary condition for existence of bounded solution on the whole real axis of singular perturbed nonlinear system is obtained under assumption that variation equation admits exponential dichotomy on both semi-axes

Author Biography

Олександр Олексійович Покутний, Institute of mathematics of National Academy of Sciences

Research assistant

Laboratory of boundary value problems of the theory of differential equations

References

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How to Cite

Покутний, О. О. (2012). Syngularly perturbed nonlinear systems. Technology Audit and Production Reserves, 5(2(7), 37–38. https://doi.org/10.15587/2312-8372.2012.4838

Issue

Vol. 5 No. 2(7) (2012): INTERNATIONAL SCIENTIFIC CONFERENCE. Information technologies. Mathematical modeling - applied aspects

Section

Mathematical Modeling - Applied Aspects

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Copyright (c) 2016 Олександр Олексійович Покутний

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