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Uniform estimates for positive solutions to quasi-linear differential equations of even order

Authors:

I V Astashova

Abstract:

The existence of uniform estimates for positive solutions with the same domain to the even-order differential equation

$y^{(n)} + \sum\limits_{i = 0}^{n - 1} {a_i (x)y^{(i)} } + p(x)\left| y \right|^{k - 1} y = 0$

with k > 1 is proved. The estimates for solutions depend on those for the continuous coefficients p(x) > 0 and a _i(x), not on the coefficients themselves. __________ Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 25, pp. 21–34, 2005.

Keywords:

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