XXXII Workshop on Geometric Methods in Physics | 30.06-6.07.2013 |

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## Barbara Pietruczuk## Asymptotic integration of third-order differential equationsThere will be presented asymptotic formulas for solutions of the equation u'''-(1+\phi(t))u=0, where the function \phi is small in a certain sense for large values of the argument. Usage of two methods of asymptotic integration, the method based on a reduction to the Poincare-Lyapunov equation and the method of L-diagonal system, allowes to obtain various forms of solutions depending on the properties of function \phi. |

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University of Bialystok |

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