On the existence of solutions to interval-valued differential equations with length constraints

Document Type : Research Paper

Authors

1 Beijing Key Lab on Mathematical Characterization, Analysis, and Applications of Complex Information, School of Mathematics, Beijing Institute of Technology, 100081 Beijing, China

2 Instituto de Matematicas, Departamento de Estatistica, Analise Matematica e Optimizacion, Facultade de Matematicas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract

In this paper, we consider the existence of solutions to first-order interval-valued differential equations with length constraints under gH-differentiability. By using the fixed point theory of compact maps on metric spaces, we provide some sufficient conditions for the existence of solutions. At the end of this paper, we show some examples to illustrate our results.

Keywords