Abstract
We consider the nonlinear singular differential equation 1 A (Au′)′ − μu = − σf(·, u) on(0, ω), ω ∈ (0, ∞], where μ and σ are two positive Radon measures on (0, ω) not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the Green's function of the homogeneous equation and Schauder's fixed-point theorem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
