Third-order generalized discontinuous impulsive problems on the half-line

In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do not need to be positive nor sublinear and the...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 26; no. 4; pp. 548 - 565
Main Authors Minhós, Feliz, Carapinha, Rui
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 28.10.2021
Subjects
Boundary layer flow
Boundary value problems
Convergence (Mathematics)
equiconvergence
impulsive problems
Localization
Mathematical research
Nonlinear theories
upper and lower solutions
Portugal
upper and lower solutions
equiconvergence
boundary layer flow
impulsive problems
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Summary:In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do not need to be positive nor sublinear and the monotone assumptions are local ones. Our method makes use of some truncation and perturbed techniques and on the equiconvergence at infinity and the impulsive points. The last section contains an application to a boundary layer flow problem over a stretching sheet with and without heat transfer.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2021.12557