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Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions

dc.creatorZerki, A.
dc.creatorBachouche, K.
dc.creatorAit-Mahiout, K.
dc.date2023-07-19
dc.date.accessioned2023-12-19T18:55:51Z
dc.date.available2023-12-19T18:55:51Z
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3419
dc.identifier10.56754/0719-0646.2502.173
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/239184
dc.descriptionIn this paper, we consider the following \((n+1)\)st order bvp on the half line with a \(\phi-\)Laplacian operator \[ \begin{cases} (\phi(u^{(n)}))'(t) = f(t,u(t),\ldots,u^{(n)}(t)), & \text{a.e.},\, t\in [0,+\infty), \\ n \in \mathbb{N}\setminus\{0\}, \\  \\ u^{(i)}(0) = A_{i}, \, i=0,\ldots,n-2, \\ u^{(n-1)}(0) + au^{(n)}(0) = B, \\ u^{(n)}(+\infty) = C. \end{cases} \] The existence of solutions is obtained by applying Schaefer's fixed point theorem under a one-sided Nagumo condition with nonordered lower and upper solutions method where \(f\) is a \(L^{1}\)-Carathéodory function.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3419/2297
dc.rightsCopyright (c) 2023 A. Zerki et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 173–193en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 173–193es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectBoundary value problemen-US
dc.subjectOne-sided Nagumo conditionen-US
dc.subjectLower and upper solutionsen-US
dc.subjectA priori estimatesen-US
dc.subject34B10en-US
dc.subject34B15en-US
dc.subject34B40en-US
dc.titleExistence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutionsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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