论文标题

混合度量差分方程:解决方案的存在和对参数的持续依赖性

Hybrid measure differential equations: existence of solutions and continuous dependence on parameters

论文作者

Gallegos, Claudio A., Henríquez, Hernán R., Mesquita, Jaqueline G.

论文摘要

本文致力于研究混合度量微分方程(简称HMDES)的定性特性。我们建立了有关全球解决方案存在的几个结果,包括存在受调节的,连续,可区分和S-轴向上的$ω$ - 周期溶液的存在。此外,我们介绍了解决方案在参数方面的连续依赖性的结果。我们的结果基于Kasnoselskii的固定点定理的扩展。

This paper is devoted to study the qualitative properties of hybrid measure differential equations (HMDEs, for short). We establish several results on the existence of global solutions, including the existence of regulated, continuous, differentiable and S-asymptotically $ω$-periodic solutions. Furthermore, we present a result on continuous dependence of solutions in terms of parameters. Our results are based on extensions of Kasnoselskii's fixed-point theorem.

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