Open AccessExistence of Positive Solution For a Fourth-order Differential System
Author(s) -
Bernadett Ács
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i830320
Subject(s) - singular solution , mathematics , singular point of a curve , fixed point theorem , order (exchange) , mathematical analysis , nonlinear system , regular singular point , differential (mechanical device) , differential equation , constant (computer programming) , space (punctuation) , ordinary differential equation , physics , computer science , economics , finance , quantum mechanics , thermodynamics , programming language , operating system
Existence of Positive Solution For a Fourth-order Differential System
where µ > 0 is a constant, and the nonlinear terms f, g may be singular with respect to the time and space variables. By fixed point theorem in cones, the existence is established for singular differential system. The results obtained herein generalize and improve some known results including singular and non-singular cases.