On a Priori Estimate and Existence of Periodic Solutions for a Class of Systems of Nonlinear Ordinary Differential Equations

被引：0

作者：

E. Mukhamadiev

A. N. Naimov

机构：

[1] Vologda State University,

[2] Vologda Institute of Law and Economics,undefined

来源：

Russian Mathematics | 2022年 / 66卷

关键词：

periodic problem; positively homogeneous function; method of guiding functions; a priori estimate; solvability of periodic problem; rotation of a vector field;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：32 / 42

页数：10

共 8 条

[1]

Mukhamadiev E.(1970)On the theory of periodic solutions of systems of ordinary differential equations Sov. Math. Dokl. 11 1236-1239

[2]

Mukhamadiev E.(2021)“Criteria for the existence of periodic and bounded solutions of three-dimensional systems of differential equations,” Tr. Inst. Mat. Mekh Ural. Otd. Ross. Akad. Nauk 27 157-172

[3]

Naimov A. N.(2015)Method of guiding functions for existence problems for periodic solutions of differential equations J. Math. Sci. 233 578-601

[4]

Zvyagin V. G.(2019)On a problem posed by Vladimir Ivanovich Zubov Differ. Equations 55 274-278

[5]

Kornev S. V.(1996)Bounded solutions and homotopic invariants of systems of nonlinear differential equations Dokl. Ross. Akad. Nauk 351 596-598

[6]

Perov A. I.(undefined)undefined undefined undefined undefined-undefined

[7]

Kaverina V. K.(undefined)undefined undefined undefined undefined-undefined

[8]

Mukhamadiev E.(undefined)undefined undefined undefined undefined-undefined

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