WHOLE SOLUTIONS OF ONE CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS GENERALIZING BRIOT–BOUQUET TYPE EQUATIONS

The paper examines entire solutions of differential equations of Brio–Bouquet type. It is shown that (under some conditions that the polynomials 𝑃, 𝑄 satisfy) all integer transcendental solutions of such equations are quasi-polynomials.

Authors

Institutions

Publication Details

Journal
Дифференциальные уравнения
Published
2024-11-13
DOI
https://doi.org/10.31857/s0374064124080111
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

WHOLE SOLUTIONS OF ONE CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS GENERALIZING BRIOT–BOUQUET TYPE EQUATIONS

A. Ya. Yanchenko
Дифференциальные уравнения
Differential Equations and Numerical Methods
article

WHOLE SOLUTIONS OF ONE CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS GENERALIZING BRIOT–BOUQUET TYPE EQUATIONS

A. Ya. Yanchenko
article en

Abstract

The paper examines entire solutions of differential equations of Brio–Bouquet type. It is shown that (under some conditions that the polynomials 𝑃, 𝑄 satisfy) all integer transcendental solutions of such equations are quasi-polynomials.

Дифференциальные уравненияVol. 60(8)
Moscow Power Engineering Institute (RU)
Russian Science Foundation
Openalex Percentile: Top 69%
Differential Equations and Numerical Methods
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.

WHOLE SOLUTIONS OF ONE CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS GENERALIZING BRIOT–BOUQUET TYPE EQUATIONS — A. Ya. Yanchenko · Дифференциальные уравнения (2024) | TGRS Research Map | TGRS