Abstract
Asymptotic formulas are presented for the solutions of the equation \(u^{\prime\prime\prime}\;-\;(1+\varphi(t))u\;=\;0\), where function φ is small in a certain sense for large values of the argument. To this end two methods of asymptotic integration are to be used, namely method based on a reduction to nonlinear Poincaré– Liapounoff type equation and method of L-diagonal systems.
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Mathematics Subject Classification (2010). 34E10, 34E05.
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© 2014 Springer International Publishing Switzerland
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Pietruczuk, B. (2014). Asymptotic Integration of Linear Third-order Differential Equation. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_17
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DOI: https://doi.org/10.1007/978-3-319-06248-8_17
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
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