Tian Yue
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Tian Yue has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- Akihiro Tanaka
Tokyo Woman’s Christian University
1 shared publication - Jianzhong Lu
School of Mathematics and Information, Xiangnan University, Chenzhou, China
1 shared publication - Jun Wu
School of Mathematics, Physics and Optical Engineering, Hubei University of Automotive Technology, Shi Yan, China
1 shared publication - Kaituo Liu
School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan, People’s Republic of China
1 shared publication - Mingfang Huang
Department of Mathematics and Statistics, University of West Florida, Pensacola, FL 32514, USA
1 shared publication Ting Wang
Hubei University of Automotive Technology
1 shared publication
Latest Publications
- 4 December 2025
- Published by Taylor & Francis in Dynamical Systems
- Vol. 41 (1) , 128-134
New Datko-type results for the uniform exponential instability in mean of cocycles
- 4 December 2025
- Published by Taylor & Francis in Dynamical Systems
- Vol. 41 (1) , 128-134
New Datko-type results for the uniform exponential instability in mean of cocycles
- Top Cited PapersOpen Access
- 1 July 2025
- Published by Hiroshima University - Department of Mathematics in Hiroshima Mathematical Journal
- Vol. 55 (2) , 183-201
Some results on the nonuniform polynomial dichotomy of discrete evolution families
This paper studies the existence of nonuniform polynomial dichotomy for discrete evolution families in Banach spaces. Some necessary and sufficient conditions for the nonuniform polynomial dichotomy concept of discrete evolution families with respect to invariant projections sequence and strongly invariant projections sequence are obtained, respectively. Additionally, we consider two notions of Lyapunov functions and use our results to obtain the relations between (generalized) Lyapunov functions and nonuniform polynomial dichotomy.
- 1 July 2025
- Published by Hiroshima University - Department of Mathematics in Hiroshima Mathematical Journal
- Vol. 55 (2) , 183-201
Top Cited PapersOpen AccessSome results on the nonuniform polynomial dichotomy of discrete evolution families
This paper studies the existence of nonuniform polynomial dichotomy for discrete evolution families in Banach spaces. Some necessary and sufficient conditions for the nonuniform polynomial dichotomy concept of discrete evolution families with respect to invariant projections sequence and strongly invariant projections sequence are obtained, respectively. Additionally, we consider two notions of Lyapunov functions and use our results to obtain the relations between (generalized) Lyapunov functions and nonuniform polynomial dichotomy.
- Open Access
- 1 July 2024
- Published by Hiroshima University - Department of Mathematics in Hiroshima Mathematical Journal
- Vol. 54 (2) , 219-232
Datko type characterizations for exponential instability in average of cocycles
In this paper, we consider the problem of exponential instability behavior of random dynamical systems described by cocycles in Banach spaces. We prove some continuous and discrete versions of Datko type theorem for the exponential instability in average of cocycles. In addition, two characterizations of the exponential instability in average in terms of Lyapunov functions are given.
- 1 July 2024
- Published by Hiroshima University - Department of Mathematics in Hiroshima Mathematical Journal
- Vol. 54 (2) , 219-232
Open AccessDatko type characterizations for exponential instability in average of cocycles
In this paper, we consider the problem of exponential instability behavior of random dynamical systems described by cocycles in Banach spaces. We prove some continuous and discrete versions of Datko type theorem for the exponential instability in average of cocycles. In addition, two characterizations of the exponential instability in average in terms of Lyapunov functions are given.
- 20 June 2024
- Published by University of Zagreb, Faculty of Science, Department of Mathematics in Glasnik Matematicki
- Vol. 59 (1) , 107-123
On uniform instability in mean of stochastic skew-evolution semiflows
In this paper we study three concepts of uniform instability in mean for stochastic skew-evolution semiflows: uniform exponential instability in mean, uniform polynomial instability in mean and uniform \(h\)-instability in mean. These concepts are natural generalizations from the deterministic case. Connections between these concepts are presented. Additionally, some expansion properties, logarithmic criteria and majorization criteria of these concepts are given, respectively.- 20 June 2024
- Published by University of Zagreb, Faculty of Science, Department of Mathematics in Glasnik Matematicki
- Vol. 59 (1) , 107-123
On uniform instability in mean of stochastic skew-evolution semiflows
In this paper we study three concepts of uniform instability in mean for stochastic skew-evolution semiflows: uniform exponential instability in mean, uniform polynomial instability in mean and uniform \(h\)-instability in mean. These concepts are natural generalizations from the deterministic case. Connections between these concepts are presented. Additionally, some expansion properties, logarithmic criteria and majorization criteria of these concepts are given, respectively.- Open Access
- 22 May 2023
- Published by The Mathematical Society of the Republic of China in Taiwanese Journal of Mathematics
- Vol. 27 (3) , 1-24
Orlicz–Hardy Weak Martingale Spaces for Two-parameter
In this paper, we investigate several two-parameter weak Orlicz–Hardy martingale spaces generated by the $p$-convex and $q$-concave functions, and establish their atomic decomposition theorems. Using the atomic decomposition, we obtain a sufficient condition for the boundedness of a sublinear operator defined on the two-parameter weak Orlicz–Hardy martingale spaces. Furthermore, the dual spaces of the two-parameter weak Orlicz–Hardy martingale spaces are considered.
- 22 May 2023
- Published by The Mathematical Society of the Republic of China in Taiwanese Journal of Mathematics
- Vol. 27 (3) , 1-24
Open AccessOrlicz–Hardy Weak Martingale Spaces for Two-parameter
In this paper, we investigate several two-parameter weak Orlicz–Hardy martingale spaces generated by the $p$-convex and $q$-concave functions, and establish their atomic decomposition theorems. Using the atomic decomposition, we obtain a sufficient condition for the boundedness of a sublinear operator defined on the two-parameter weak Orlicz–Hardy martingale spaces. Furthermore, the dual spaces of the two-parameter weak Orlicz–Hardy martingale spaces are considered.
- Open Access
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (11) , 26357-26371
Barbashin type characterizations for nonuniform h-dichotomy of evolution families
The aim of this paper is to give some Barbashin type characterizations for the nonuniform h-dichotomy of reversible evolution families in Banach spaces. Two necessary and sufficient conditions for the uniform h-dichotomy are pointed out using some important sets of growth functions. Additionally, as particular cases, we obtain a Barbashin type characterization for nonuniform exponential dichotomy and a necessary and sufficient condition for the nonuniform polynomial dichotomy.
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (11) , 26357-26371
Open AccessBarbashin type characterizations for nonuniform h-dichotomy of evolution families
The aim of this paper is to give some Barbashin type characterizations for the nonuniform h-dichotomy of reversible evolution families in Banach spaces. Two necessary and sufficient conditions for the uniform h-dichotomy are pointed out using some important sets of growth functions. Additionally, as particular cases, we obtain a Barbashin type characterization for nonuniform exponential dichotomy and a necessary and sufficient condition for the nonuniform polynomial dichotomy.
- 30 December 2022
- Published by University of Zagreb, Faculty of Science, Department of Mathematics in Glasnik Matematicki
- Vol. 57 (2) , 265-280
Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution familiesThe aim of this paper is to give some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families in Banach spaces, by using some important sets of growth rates. We prove four characterization theorems of Datko type and two characterization theorems of Barbashin type for uniform \(h\)-instability. Variants for uniform \(h\)-instability of some well-known results in stability theory (Barbashin (1967), Datko (1972)) are obtained.- 30 December 2022
- Published by University of Zagreb, Faculty of Science, Department of Mathematics in Glasnik Matematicki
- Vol. 57 (2) , 265-280
Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution familiesThe aim of this paper is to give some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families in Banach spaces, by using some important sets of growth rates. We prove four characterization theorems of Datko type and two characterization theorems of Barbashin type for uniform \(h\)-instability. Variants for uniform \(h\)-instability of some well-known results in stability theory (Barbashin (1967), Datko (1972)) are obtained.- 22 July 2022
- Published by Walter de Gruyter GmbH in Georgian Mathematical Journal
- Vol. 29 (6) , 953-966
Barbashin type characterizations for the uniform polynomial stability and instability of evolution families
The aim of this paper is to give some discrete and continuous versions of Barbashin type theorems for the uniform polynomial stability and instability of evolution families in Banach spaces, by using Banach sequence spaces in and Banach function spaces in , respectively. Variants for uniform polynomial stability and instability of some well-known results in the exponential stability theory and polynomial stability theory are obtained.- 22 July 2022
- Published by Walter de Gruyter GmbH in Georgian Mathematical Journal
- Vol. 29 (6) , 953-966
Barbashin type characterizations for the uniform polynomial stability and instability of evolution families
The aim of this paper is to give some discrete and continuous versions of Barbashin type theorems for the uniform polynomial stability and instability of evolution families in Banach spaces, by using Banach sequence spaces in and Banach function spaces in , respectively. Variants for uniform polynomial stability and instability of some well-known results in the exponential stability theory and polynomial stability theory are obtained.- 1 September 2019
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-2
Wavelength Modulation Spectroscopy Enhanced by Machine Learning for Early Fire Detection
We proposed and demonstrated a new machine learning algorithm for wavelength modulation spectroscopy to enhance the accuracy of fire detection. The result shows more than 8% of accuracy improvement by analyzing CO/CO 2 2f signals.
- 1 September 2019
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-2
Wavelength Modulation Spectroscopy Enhanced by Machine Learning for Early Fire Detection
We proposed and demonstrated a new machine learning algorithm for wavelength modulation spectroscopy to enhance the accuracy of fire detection. The result shows more than 8% of accuracy improvement by analyzing CO/CO 2 2f signals.