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Existence and Uniqueness of Positive Solutions for Semipositone Lane-Emden Equations on the Half-Axis

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  • Imed Bachar

    (Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

Semipositone Lane–Emden type equations are considered on the half-axis. Such equations have been used in modelling several phenomena in astrophysics and mathematical physics and are often difficult to solve analytically. We provide sufficient conditions for the existence of a positive continuous solution and we describe its global behavior. Our approach is based on a perturbed operator technique and fixed point theorems. Some examples are presented to illustrate the main results.

Suggested Citation

  • Imed Bachar, 2023. "Existence and Uniqueness of Positive Solutions for Semipositone Lane-Emden Equations on the Half-Axis," Mathematics, MDPI, vol. 11(19), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4184-:d:1254544
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    References listed on IDEAS

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    1. Sonia Ben Othman & Habib Mâagli & Noureddine Zeddini, 2007. "On the Existence of Positive Solutions of a Nonlinear Differential Equation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-12, February.
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