General Problems of Explicit Integration of Differential Inequalities

Research output

1 Citation (Scopus)

Abstract

In this paper, we describe a method for solving differential inequalities and estimating their solutions for this case as well. The result obtained in this study provides a unified approach to many theorems on differential inequalities available in the literature.
Original languageEnglish
Pages (from-to)364-371
Number of pages8
JournalVestnik St. Petersburg University: Mathematics
Volume50
Issue number1
DOIs
Publication statusPublished - 30 Nov 2017

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Differential Inequalities
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Scopus subject areas

  • Mathematics(all)

Cite this

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title = "General Problems of Explicit Integration of Differential Inequalities",
abstract = "In this paper, we describe a method for solving differential inequalities and estimating their solutions for this case as well. The result obtained in this study provides a unified approach to many theorems on differential inequalities available in the literature.",
keywords = "differential inequality,, comparison theorems, general solution, variation method, extension of solution, points of branching",
author = "Iljin, {Y. A.}",
note = "Vestnik St. Petersburg University: Mathematics. 2017. Volume 48, issue 4, pp. 364 - 371.",
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AB - In this paper, we describe a method for solving differential inequalities and estimating their solutions for this case as well. The result obtained in this study provides a unified approach to many theorems on differential inequalities available in the literature.

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KW - comparison theorems

KW - general solution

KW - variation method

KW - extension of solution

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DO - DOI: 10.3103/S1063454117040094

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