On properties of nonlinear second-order systems under nonlinear impulse perturbations.
Gli Autori provano alcuni nuovi criteri sufficienti, indipendenti da altri criteri da loro ottenuti in precedenza, perché gli integrali dell'equazione siano tutti non oscillatori.
Si esamina il comportamento asintotico delle soluzioni nel caso che sia positivo e sia monotona.
The authors consider the nonlinear difference equation with . They give sufficient conditions for the unique positive equilibrium of (0.1) to be a global attractor of all positive solutions. The results here are somewhat easier to apply than those of other authors. An application to a model of blood cell production is given.
We study the existence of positive solutions to the fourth-order two-point boundary value problem where is a Riemann-Stieltjes integral with being a nondecreasing function of bounded variation and . The sufficient conditions obtained are new and easy to apply. Their approach is based on Krasnoselskii’s fixed point theorem and the Avery-Peterson fixed point theorem.
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