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We study the asymptotic behaviour of the solutions of the generic (D (1) 6 -type) third Painlevé equation in the space of initial values as the independent variable approaches infinity… Click to show full abstract
We study the asymptotic behaviour of the solutions of the generic (D (1) 6 -type) third Painlevé equation in the space of initial values as the independent variable approaches infinity (or zero) and show that the limit set of each solution is compact and connected. Moreover, we prove that any solution with essential singularity at infinity has an infinite number of poles and zeroes, and similarly at the origin.
Keywords:
asymptotic behaviour;
initial values;
third painlev;
behaviour third;
space initial
Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
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Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!