Coercive Solvability of Odd-Order Differential Equations and Its Applications

被引：12

作者：

Muratbekov, M. B. ^{[1
]}

Muratbekov, M. M. ^{[2
]}

Ospanov, K. N. ^{[2
]}

机构：

[1] Taraz Innovat Univ Humanities, Taraz, Kazakhstan

[2] Gumilev Eurasian Natl Univ, Astana 010008, Kazakhstan

来源：

DOKLADY MATHEMATICS | 2010年 / 82卷 / 03期

关键词：

Differential equations;

D O I：

10.1134/S1064562410060189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Coercive solvability of odd-order differential equations and its applications is studied. The proof of smoothness and approximative properties of generalized solutions to the nonlinear equation is also studied. Sufficient solvability conditions for the nonlinear equation is found and the norm of the highest derivative of its solution is estimated. For continuous functions there exists a number such that the nonlinear equation has a solution. For sequence of positive numbers converging to zero the operator has a fixed point. The sequence is found to have a subsequence and the number of Kolmogorov widths is estimated.

引用

页码：909 / 911

页数：3

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