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

H. Wang; R. Rodríguez-López

doi:10.22111/ijfs.2021.5909

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

H. Wang, R. Rodríguez-López^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Santiago de Compostela

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Iranian Journal of Fuzzy Systems
Volume	18
Issue number	2
DOIs	https://doi.org/10.22111/ijfs.2021.5909
Publication status	Published - 2021

Keywords

GH-differentiability
Interval-valued differential equations
Length constraints
Switching points

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10.22111/ijfs.2021.5909

Cite this

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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.",

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AU - Rodríguez-López, R.

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AB - 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.

KW - GH-differentiability

KW - Interval-valued differential equations

KW - Length constraints

KW - Switching points

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M3 - Article

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SP - 1

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

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Keywords

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