On uniform estimates for solutions to quasi-linear differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On uniform estimates for solutions to quasi-linear differential equations

Authors:

I. V. Astashova

Affiliation:

(1) Department of Higher Mathematics, Moscow State University of Economics, Statistics, and Informatics, Nezhinskaya st. 7, Moscow, 119501, Russia

Abstract:

We obtain uniform estimates for positive solutions with the same domain to the equation

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

of even order n with k > 1 and continuous functions p(x) > 0 and a _i(x). In the case where a ₀(x) ≡ ⋯ ≡ a _n−1(x) ≡ 0, the uniform estimates obtained depend on p = inf p(x) > 0 and are independent of the function p(x) itself. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 5, pp. 3–9, 2006.

Keywords:

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