Title :
A note on Gronwall type inequality for interval-valued functions
Author :
Roman-Flores, Heriberto ; Chalco-Cano, Yurilev ; Silva, G.N.
Author_Institution :
Inst. de Alta Investig., Univ. de Tarapaca, Arica, Chile
Abstract :
In this paper, by using the concept of gH-differentiability and Kulisch-Miranker order on intervals, we show a differential Gronwall type lemma for inteval-valued functions defined on a real compact interval T.
Keywords :
differential equations; set theory; Gronwall type inequality; Kulisch-Miranker; differential Gronwall type lemma; gH-differentiability; interval valued functions; set valued analysis; stochastic process; Context; Differential equations; Electronic mail; Fuzzy sets; Uncertainty;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608616