Existence and multiplicity of positive unbounded solutions for singular BVPs with the φ-Laplacian operator on the half line

• Attia, Chahira ; Mechrouk, Salima ^[1] ; Saifi, Ouiza
  1. [1] University of Boumerdes

     University of Boumerdes

     Argelia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 1, 2022, págs. 1-22
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4658
• Enlaces
  • Texto completo
• Resumen

  • We provide in this work sufficient conditions for existence and multiplicity of positive unbounded solutions for a class of singular second-order boundary value problem associated with a φ-Laplacian operator and posed on the half-line. The proofs are based on a theorem of cone expansion and compression in a Banach space.

• Referencias bibliográficas
  • R. P. Agarwal and D. O’Regan, “Second-Order Boundary Value Problems of Singular Type”, Journal of mathematical analysis and applications,...
  • R. P. Agarwal and D. O’Regan, Infinite interval problems for differential, difference and integral equations. Dordrecht: Kluwer Academic Publishers,...
  • C. Corduneanu, Integral equations and stability of feedback systems. New York: Academic Press, 1973.
  • S. Djebali and O. Saifi, “Positive solutions for singular ϕ−Laplacian BVPs on the positive half-line”, Electronic journal of qualitative theory...
  • D. Guo and V. Lakshmikantham, Nonlinear problems in abstract cones. San Diego: Academic Press, 1988.
  • P. Kang and Z. Wei, “Multiple solutions of second-order three-point singular boundary value problems on the half-line”, Applied mathematics...
  • S. Liang and J. Zhang, “The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line”,...
  • S. Liang and J. Zhang, “The existence of countably many positive solutions for one-dimensional p-Laplacian with infinitely many singularities...
  • D. O’Regan, B. Yan, and R. P. Agarwal, “Solutions in weighted spaces of singular boundary value problems on the half-line”, Journal of computational...
  • B. Yan, D. O’Regan, and R. P. Agarwal, “Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and...
  • Y. Liu, “Existence and unboundedness of positive solutions for singular boundary value problems on half-line”, Applied mathematics and computation,...