On the stopping time problem of interval-valued differential equations without monotonicity constraint

Hongzhou Wang; Rosana Rodríguez-López

doi:10.1016/j.fss.2022.12.002

On the stopping time problem of interval-valued differential equations without monotonicity constraint

Hongzhou Wang^*, Rosana Rodríguez-López

^*Corresponding author for this work

School of Mathematics and Statistics

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

1 Citation (Scopus)

Abstract

This paper is devoted to studying stopping time problem of interval-valued differential equation. Based on length constraint, we discuss the stopping time without Lipschitz condition, monotonicity and nonnegativity hypotheses. Then, stopping times with respects to upper and lower boundednesses are studied without monotonicity hypothesis, which is necessary in [27]. The results can be applied to discuss stopping time problem of more general interval-valued differential equations. We also provide some examples to verify our results.

Original language	English
Article number	108446
Journal	Fuzzy Sets and Systems
Volume	466
DOIs	https://doi.org/10.1016/j.fss.2022.12.002
Publication status	Published - 30 Aug 2023

Keywords

Forward and backward solutions
Interval-valued differential equations
Stopping time
gH-differentiability

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Wang, H., & Rodríguez-López, R. (2023). On the stopping time problem of interval-valued differential equations without monotonicity constraint. Fuzzy Sets and Systems, 466, Article 108446. https://doi.org/10.1016/j.fss.2022.12.002

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N2 - This paper is devoted to studying stopping time problem of interval-valued differential equation. Based on length constraint, we discuss the stopping time without Lipschitz condition, monotonicity and nonnegativity hypotheses. Then, stopping times with respects to upper and lower boundednesses are studied without monotonicity hypothesis, which is necessary in [27]. The results can be applied to discuss stopping time problem of more general interval-valued differential equations. We also provide some examples to verify our results.

AB - This paper is devoted to studying stopping time problem of interval-valued differential equation. Based on length constraint, we discuss the stopping time without Lipschitz condition, monotonicity and nonnegativity hypotheses. Then, stopping times with respects to upper and lower boundednesses are studied without monotonicity hypothesis, which is necessary in [27]. The results can be applied to discuss stopping time problem of more general interval-valued differential equations. We also provide some examples to verify our results.

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KW - Interval-valued differential equations

KW - Stopping time

KW - gH-differentiability

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On the stopping time problem of interval-valued differential equations without monotonicity constraint

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Keywords

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