EIGENVALUE INTERVALS FOR ITERATIVE SYSTEMS OF SECOND-ORDER NONLINEAR EQUATIONS WITH IMPULSES AND M-POINT BOUNDARY CONDITIONS

Oz, DonduKaraca, Ilkay yaslan2024-08-312024-08-3120241583-50222066-9208https://doi.org/10.24193/fpt-ro.2025.1.18https://hdl.handle.net/11454/104849This paper is devoted to determining the eigenvalue intervals of the parameters lambda(1), lambda(2), ..., lambda(n) for which there exist positive solutions of the iterative systems of second-order with mpoint impulsive boundary value problem. We use the Guo-Krasnosel'skii fixed point theorem on the cones in order to achieve our results. An example is also presented to demonstrate the applicability of the main results obtained.en10.24193/fpt-ro.2025.1.18info:eu-repo/semantics/closedAccessImpulsive Boundary Value ProblemsPositive SolutionsM-PointFixed Point TheoremsIterative SystemsEigenvalue IntervalGreen's FunctionEIGENVALUE INTERVALS FOR ITERATIVE SYSTEMS OF SECOND-ORDER NONLINEAR EQUATIONS WITH IMPULSES AND M-POINT BOUNDARY CONDITIONSArticle251289308WOS:0011781688000092-s2.0-85185934436Q2N/A