XXXII Workshop on Geometric Methods in Physics 30.06-6.07.2013

Barbara Pietruczuk

Asymptotic integration of third-order differential equations

There 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.

Event sponsored by:
Belgian Science Policy Office     PAI          University
of Bialystok
University of Bialystok

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