Asymptotic behavior of solutions of nonlinear second-order differential equations that are implicit in the highest derivative

We establish conditions for the existence and asymptotic representations as $t \rightarrow +\infty$ of monotonic solutions of nonlinear second-order differential equations unsolvable regarding the highest derivative.

Authors

Publication Details

Journal
Neliniini Kolyvannya
Published
2025-03-29
DOI
https://doi.org/10.3842/nosc.v28i1.1492
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Asymptotic behavior of solutions of nonlinear second-order differential equations that are implicit in the highest derivative

В. М. Евтухов, Л. С. Кольцова
Neliniini Kolyvannya
Differential Equations and Numerical Methods
article

Asymptotic behavior of solutions of nonlinear second-order differential equations that are implicit in the highest derivative

В. М. Евтухов, Л. С. Кольцова
article en

Abstract

We establish conditions for the existence and asymptotic representations as $t \rightarrow +\infty$ of monotonic solutions of nonlinear second-order differential equations unsolvable regarding the highest derivative.

Neliniini KolyvannyaVol. 28(1)
Openalex Percentile: Top 71%
Differential Equations and Numerical Methods
DOISourceOpenAlex
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.

Asymptotic behavior of solutions of nonlinear second-order differential equations that are implicit in the highest derivative — В. М. Евтухов, Л. С. Кольцова · Neliniini Kolyvannya (2025) | TGRS Research Map | TGRS