Lidstone-type problems on the whole real line and homoclinic solutions applied to infinite beams

Minhós, Feliz; Carrasco, Hugo

doi:10.1007/s00521-020-04732-x

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2020

2021

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Cited by 2 publications

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“…Likewise, they are useful in more theoretical studies such as on nonlinear elliptic equations, to prove the existence of radially symmetric solutions, or heteroclinic and homoclinic solutions of differential equations, or coupled systems of differential and integral equations. As related works we mention, for instance, [2,5,16,17,18,19,26,27].…”

Section: Introductionmentioning

confidence: 99%

Third-Order Generalized Discontinuous Impulsive Problems on the Half-Line

Minhós

Carapinha

2021

Mathematical Modelling and Analysis

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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.

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