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Uniform estimates for positive solutions of higher order quasilinear differential equations

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Abstract

For a higher order quasilinear differential equation, the existence of uniform estimates for positive solutions with common domain of definition is proved; these estimates depend on the estimates for the coefficients of the equation and do not depend on the coefficients themselves.

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Authors and Affiliations

  1. Moscow State University of Economics, Statistics, and Informatics, ul. Nezhinskaya 7, Moscow, 119501, Russia

    I. V. Astashova

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  1. I. V. Astashova
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Correspondence to I. V. Astashova.

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Original Russian Text © I.V. Astashova, 2008, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 261, pp. 26–36.

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Astashova, I.V. Uniform estimates for positive solutions of higher order quasilinear differential equations. Proc. Steklov Inst. Math. 261, 22–33 (2008). https://doi.org/10.1134/S008154380802003X

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  • DOI: https://doi.org/10.1134/S008154380802003X

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