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Cabrera, I.J., López, B. and Sadarangani, K. (2018) Existence of Positive Solutions for the Nonlinear Elastic Beam Equation via a Mixed Monotone Operator. Journal of Computational and Applied mathematics, 327, 306-313.
https://doi.org/10.1016/j.cam.2017.04.031

has been cited by the following article:

• TITLE: Positive Solution for a Singular Fourth-Order Differential System

  AUTHORS: B. Kovács

  KEYWORDS: Positive Solutions, Fixed Point Theorem, Singular Solutions, Bending of an Elastic Beam, Cone, Boundary Value Problem, Existence, Multiplicity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.9, September 15, 2021

  ABSTRACT: In this paper, we investigate the existence of positive solutions for the singular fourth-order differential system u(4) = φu + f (t, u, u”, φ), 0 t φ” = μg (t, u, u”), 0 t u (0) = u (1) = u”(0) = u”(1) = 0, φ (0) = φ (1) = 0; where μ > 0 is a constant, and the nonlinear terms f, g may be singular with respect to both the time and space variables. The results obtained herein generalize and improve some known results including singular and non-singular cases.