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Asymptotic Integration of Linear Third-order Differential Equation

  • Barbara PietruczukEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

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.

Keywords

Asymptotic behavior L-diagonal systems Poincaré–Liapounoff type equation 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland

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