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

• Autores: A. Zerki, K. Bachouche, K. Ait-Mahiout
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 2, 2023, págs. 173-193
• Idioma: inglés
• DOI: 10.56754/0719-0646.2502.173
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen En este artículo, consideramos el siguiente pvf en la semirecta de orden (n + 1) con un operador ϕ−Laplaciano Se obtiene la existencia de soluciones aplicando el teorema de punto fijo de Schaefer bajo una condición unilateral de Nagumo con un método de soluciones inferiores y superiores no-ordenadas donde f es una función L1-Carathéodory.

  • English

    Abstract In this paper, we consider the following (n + 1)st order bvp on the half line with a ϕ−Laplacian operator 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 L1-Carathéodory function.

• Referencias bibliográficas
  • Agarwal, R. P.,O’Regan, D.. (2001). Infinite Interval Problems for Differential, Difference and Integral Equations. Kluwer Academic Publisher....
  • Ariaku, S. E.,Mbah, E. C.,Asogwa, C. C.,Nwokoro, P. U.. (2019). Lower and upper solutions of first order non-linear ordinary differential...
  • Bai, C.,Li, C.. (2009). Unbounded upper and lower solution method for third order boundary value problems on the half line. Electron. J. Differential...
  • Cabada, A.,Cid, J. A.,Sanchez, L.. (2007). Positivity and lower and upper solutions for fourth order boundary value problems. Nonlinear Anal.....
  • Cabada, A.,Dimitrov, N.. (2020). Existence of solutions of nth-order nonlinear difference equations with general boundary conditions. Acta...
  • Cabada, A.,Saavedra, L.. (2018). Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point...
  • Carrasco, H.,Minhós, F.. (2017). Existence of solutions to infinite elastic beam equations with unbounded nonlinearities. Electron. J. Differential...
  • Graef, J. R.,Kong, L.,Minhós, F.. (2011). Higher order boundary value problems with ϕ−Laplacian and functional boundary conditions. Comput....
  • Grossinho, M. R.,Minhós, F.,Santos, A. I.. (2009). A note on a class of problems for a higher-order fully nonlinear equation under one-sided...
  • Koplatadze, R.,Kvinikadze, G.,Stavroulakis, I. P.. (1999). Properties A and B of nth order linear differential equations with deviating argument....
  • Lian, H.,Zhao, J.. (2012). Existence of unbounded solutions for a third-order boundary value problem on infinite intervals. Discrete Dyn....
  • Minhós, F.,Carrasco, H.. (2015). Solvability of higher-order BVPs in the half-line with unbounded nonlinearities. Discrete Contin. Dyn. Syst.....
  • Smart, D. R.. (1974). Fixed point theorems. Cambridge University Press. London-New York, England-USA.
  • Zerki, A.,Bachouche, K.,Ait-Mahiout, K.. (2022). Existence solutions for third order ϕ−Laplacian bvps on the half-line. Mediterr. J. Math.....
  • Zhang, Q.,Jiang, D.,Weng, S.,Gao, H.. (2009). Upper and lower solutions for a second-order three-point singular boundary-value problem. Electron....
  • Zhang, X.,Liu, L.. (2007). Positive solutions of fourth-order four-point boundary value problems with p-Laplacian operator. J. Math. Anal....