Multiplicity Results of Second-Order Singular Nonlinear
Differential Equation with a Parameter

R. Tejaskumar; A. Mohamed Ismayil; Ivan Gutman

doi:https://doi.org/10.14445/22315373/IJMTT-V69I6P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 6 | Year 2023 | Article Id. IJMTT-V69I6P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I6P504

Multiplicity Results of Second-Order Singular Nonlinear Differential Equation with a Parameter

R. Tejaskumar, A. Mohamed Ismayil, Ivan Gutman

Received	Revised	Accepted	Published
13 Apr 2023	22 May 2023	05 Jun 2023	15 Jun 2023

Abstract

In a periodic differential equation with a singular nonlinearity, we prove the existence and multiplicity of positive periodic solutions of the equation through a basic application of Krasnoselski1's-Guo fixed point theorem and the positivity of the associated Green's function.

Keywords

Positive periodic solution, Krasnoselskii's-Guo fixed point, Green's function

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Citation :

R. Tejaskumar, A. Mohamed Ismayil, Ivan Gutman, "Multiplicity Results of Second-Order Singular Nonlinear Differential Equation with a Parameter," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 6, pp. 23-30, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I6P504