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This chapter is devoted to the study of the qualitative properties for a special class of measure differential equations (MDEs, for short). We establish several results on the existence of global solutions, including the existence of regulated, continuous, differentiable, and S-asymptotically \(\omega \) -periodic solutions. Furthermore, we present a result on continuous dependence of solutions in terms of parameters. Our results are based on extensions of Krasnoselskii’s fixed point theorem.

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Existence of Solutions and Continuous Dependence on Parameters for a Class of Measure Differential Equations

  • 章节

  • 发表日期：

    2025年

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  • Claudio A. Gallegos,
  • Hernán Henríquez,
  • Jaqueline Godoy Mesquita

摘要

This chapter is devoted to the study of the qualitative properties for a special class of measure differential equations (MDEs, for short). We establish several results on the existence of global solutions, including the existence of regulated, continuous, differentiable, and S-asymptotically \(\omega \) -periodic solutions. Furthermore, we present a result on continuous dependence of solutions in terms of parameters. Our results are based on extensions of Krasnoselskii’s fixed point theorem.