An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales

In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohne...

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Bibliographic Details
Published inAxioms Vol. 14; no. 4; p. 270
Main Authors Yuan, Yuan, Ma, Qinghua
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 02.04.2025
Subjects
asymptotic behavior
Asymptotic expansions
Asymptotic properties
Dynamical systems
Gronwall–Bihari-type dynamic inequality
high-order dynamic equations
Inequality
Mathematical research
Nonlinear dynamics
Nonlinear theories
Ordinary differential equations
Time
time scales
China
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Summary:In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohner’s, respectively.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms14040270