On a Dini Type Blow-Up Condition for Solutions of Higher Order Nonlinear Differential Inequalities

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-10-20 DOI:10.1134/S1064562424601276

A. A. Kon’kov, A. E. Shishkov

引用次数: 0

Abstract

We obtain a Dini type blow-up condition for solutions of the differential inequality \(\sum\limits_{|\alpha | = m} {{\partial }^{\alpha }}{{a}_{\alpha }}(x,u) \geqslant g({\text{|}}u{\text{|)}}\;{\text{in}}\;{\kern 1pt} {{\mathbb{R}}^{n}},\) where \(m,n \geqslant 1\) are integers and \({{a}_{\alpha }}\) and g are some functions.

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论高阶非线性微分不等式解的迪尼型炸裂条件

我们得到了微分不等式解的一个迪尼式炸毁条件（\sum\limits_{|\alpha | = m}{{/partial }^{/alpha }}{{a}_{\alpha }}(x,u) \geqslant g({\text{|}}u{\text{|)}}\;{\text{in}}\；{其中 \(m,n \geqslant 1\) 是整数，\({{a}_{\alpha }}\) 和 g 是一些函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.