ESTIMATES OF SOLUTIONS FOR A CLASS OF NONAUTONOMOUS SYSTEMS OF NEUTRAL TYPE WITH CONCENTRATED AND DISTRIBUTED DELAYS

A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

Authors

Institutions

Publication Details

Journal
Журнал вычислительной математики и математической физики
Published
2024-12-15
DOI
https://doi.org/10.31857/s0044466924080139
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

ESTIMATES OF SOLUTIONS FOR A CLASS OF NONAUTONOMOUS SYSTEMS OF NEUTRAL TYPE WITH CONCENTRATED AND DISTRIBUTED DELAYS

И. И. Матвеева
Журнал вычислительной математики и математической физики
Mathematical and Theoretical Epidemiology and Ecology Models
article

ESTIMATES OF SOLUTIONS FOR A CLASS OF NONAUTONOMOUS SYSTEMS OF NEUTRAL TYPE WITH CONCENTRATED AND DISTRIBUTED DELAYS

И. И. Матвеева
article en

Abstract

A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

Журнал вычислительной математики и математической физикиVol. 64(8)
Novosibirsk State University (RU)
Openalex Percentile: Top 63%
Mathematical and Theoretical Epidemiology and Ecology Models
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

ESTIMATES OF SOLUTIONS FOR A CLASS OF NONAUTONOMOUS SYSTEMS OF NEUTRAL TYPE WITH CONCENTRATED AND DISTRIBUTED DELAYS — И. И. Матвеева · Журнал вычислительной математики и математической физики (2024) | TGRS Research Map | TGRS