Existence of nonzero nonnegative solutions of Sturm-Liouville boundary value problems and applications

• Published in: Journal of Differential Equations Vol. 434; p. 113291
• Main Authors: Lan, Kunquan, Li, Chongming
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 25.07.2025
• Subjects: Fixed point index theory; Logistic type population model; Nonnegative solution; Nowhere normal-outward map; Second order differential equation; Sturm-Liouville boundary value problem; secondary; Second order differential equation; Sturm-Liouville boundary value problem; Nonnegative solution; Logistic type population model; Nowhere normal-outward map; Fixed point index theory; primary

Sufficient conditions for the boundary value problems (BVPs) of linear Sturm-Liouville (S-L) homogeneous equations subject to the separated boundary conditions (BCs) to have only zero solution are provided in this paper for the first time. Some previous papers and classical books used the assertion...