Eigenvalue intervals for iterative systems of second-order nonlinear equations with impulses and \(m\)-point boundary conditions. (English) Zbl 07884567
Summary: This paper is devoted to determining the eigenvalue intervals of the parameters \(\lambda_1\), \(\lambda_2, \dots, \lambda_n\) for which there exist positive solutions of the iterative systems of second-order with \(m\)-point 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.
MSC:
| 34B37 | Boundary value problems with impulses for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 47H10 | Fixed-point theorems |
Keywords:
impulsive boundary value problems; positive solutions; \(m\)-point; fixed point theorems; iterative systems; eigenvalue interval; Green’s functionReferences:
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