Abstract:
The asymptotic properties of nonoscillating solutions of Emden–Fowler-type equations of arbitrary order are considered. The paper contains the results of the study of the asymptotic properties of solutions with integer-valued asymptotics as well as of solutions arising from the rapid decrease of the coefficient of the equation. To analyze the asymptotic behavior of solutions of the equations, methods of power geometry are used.
Keywords:Emden–Fowler-type equation, power geometry, nonoscillating solution, noncontinuable solution, Newton polyhedron.
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