Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation. (English) Zbl 1412.34092
Summary: In this paper, we establish the positive bounded solutions for a changing-sign periodic perturbed differential system with weak singularity in eco-economic and other applied fields. The conditions for the existence of solution are established for the positive, negative and semipositone cases of nonlinear term, and the perturbation is allowed to be a singular and changing-sign \(L^1(0, T)\) function.
MSC:
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
Keywords:
weak singularity; bounded solutions; sign-changing perturbation; periodic problems; eco-economical systemReferences:
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