On Asymptotic Classification of Solutions to Nonlinear Regular and Singular Third- and Fourth-Order Differential Equations with Power Nonlinearity View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016

AUTHORS

I. V. Astashova

ABSTRACT

For the equation $$\displaystyle{ y^{(n)} + p_{ 0}\,\vert y\vert ^{k}\ \mathrm{sign}\,y = 0, }$$ in the cases n = 3, 4, p 0 > 0 or p 0 < 0 for regular nonlinearity k > 1 and singular nonlinearity 0 < k < 1 asymptotic classification of all solutions are given. It is the first time when all results on this classification are represented together for regular and singular cases. More... »

PAGES

191-203

Book

TITLE

Differential and Difference Equations with Applications

ISBN

978-3-319-32855-3
978-3-319-32857-7

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-32857-7_18

DOI

http://dx.doi.org/10.1007/978-3-319-32857-7_18

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033225728


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