Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel

The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish existence r...

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Bibliographic Details
Published in:Boundary value problems 2020-06, Vol.2020 (1), p.1-11, Article 114
Main Authors: Imaga, O. F., Iyase, S. A.
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary value problems
Coincidence degree
Difference and Functional Equations
Half-line
Integral boundary value problem
Kernels
m-Point
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
p-Laplacian
Partial Differential Equations
Resonance
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Summary:The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish existence results, while an example will be given to validate our result.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-020-01415-3