Construction of Solutions with Negative Exponentsof a Differential System in the Two-Dimensional Anti-Perron Effect under Higher-OrderPerturbations

The two-dimensional anti-Perron effect of changing all positive characteristic exponents of the linear approximation to four different negative exponents, respectively, of four nontrivial solutions of a differential system with a perturbation of higher order of smallness, has been realized.

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Publication Details

Journal
Differential Equations
Published
2024-12-01
DOI
https://doi.org/10.1134/s0012266124120036
Primary Topic
Aquatic and Environmental Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

Construction of Solutions with Negative Exponentsof a Differential System in the Two-Dimensional Anti-Perron Effect under Higher-OrderPerturbations

N. A. Izobov, А. В. Ильин
Differential Equations
Aquatic and Environmental Studies
article

Construction of Solutions with Negative Exponentsof a Differential System in the Two-Dimensional Anti-Perron Effect under Higher-OrderPerturbations

N. A. Izobov, А. В. Ильин
article en

Abstract

The two-dimensional anti-Perron effect of changing all positive characteristic exponents of the linear approximation to four different negative exponents, respectively, of four nontrivial solutions of a differential system with a perturbation of higher order of smallness, has been realized.

Differential EquationsVol. 60(12)
National Academy of Sciences of Belarus (BY), Lomonosov Moscow State University (RU), Institute of Mathematics (BY)
Climate action
Openalex Percentile: Top 70%
Aquatic and Environmental Studies
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