Almost periodic solutions of first-order ordinary differential equations
type: Item
instance of: scholarly article
title: Almost periodic solutions of first-order ordinary differential equations
zbMATH Open document ID: 1454.34066
author: Seifedine Kadry
author: Gennady Alferov
author: Gennady Ivanov
author: Artem Sharlay
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found. The existence and stability of almost periodic problems are studied. The novelty of this paper lies in the fact that the use of apparatus derivatives allows for the reduction of restrictions on the degree of smoothness of the right parts. In our work, regarding the number of periodic solutions of equations first order, we don't require a high degree of smoothness and no restriction on the smoothness of the second derivative of the Schwartz equation. We have all of these restrictions lifted. Our new form presented also emphasizes this novelty.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 6994735
zbMATH Keywords: ODE
zbMATH Keywords: periodic solutions
zbMATH Keywords: upper bounds
zbMATH Keywords: lower bounds
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: math6090171
OpenAlex ID: W2891187395
cites work: Q5551683
cites work: Corrigendum to: ``Phase transition in equilibrium fluctuations of symmetric slowed exclusion''.
cites work: An existence theorem for periodic solutions of nonlinear ordinary differential equations
cites work: Periodic solutions of nonlinear functional differential equations
cites work: Q3027444
Wikidata QID: Q129251275
DOI: 10.3390/MATH6090171
description: scientific article; zbMATH DE number 6994735