Author(s)

Yuhong Cui ¹, Youde Tao ¹

Affiliation(s)

¹ College of Mathematics and Statistics, Xinyang Normal University, Xinyang, Henan, China

Corresponding Author

Yuhong Cui

ABSTRACT

Using the conjugate space theory of functional analysis, the eigenvalue problem of the main operator of the pumping well production system with early warning function was studied, and the spectral point distribution of the main operator of the system was described.

KEYWORDS

Pumping Well Production System, Eigen Value, Geometric Multiplicity, Algebraic Multiplicity, the Spectral Properties

CITE THIS PAPER

Yuhong Cui, Youde Tao, The Spectral Properties of the Main Operator of a Kind of Pumping Well Production System with Early Warning Function. Advances in Computer, Signals and Systems (2022) Vol. 6: 13-22. DOI: http://dx.doi.org/10.23977/acss.2022.060503.

REFERENCES

[1] Jinhua Cao and Kan Cheng. Introduction to reliability mathematics (2006) Higher education press, Beijing.
[2] Geni Gupur. (2020) Mathematical Methods in Reliability Theory [M]. Beijing: Science Press.
[3] Weihua Guo, Genqi Xu, Houbao Xu. (2003) Stability of solutions of two parallel repairable systems with different components [J]. Journal of Applied Functional Analysis, 5(3): 281-288.
[4] Houbao Xu, Wenbing Xu, Jingyuan Yu, et al. (2004) Asymptotic stability analysis of the solution of software regeneration system [J]. Practice and Understanding of Mathematics, 34(12): 112-118.
[5] Xin Jin, Dong Li, Yufeng Zhang. (2006) Eigenvalue distribution of two parallel repairable systems with different components [J]. Practice and Understanding of Mathematics, 36(10): 179-184.
[6] Liqiao Wang, Yufeng Zhang. (2007) The eigenvalue problem of repairable man-machine reserve system operator [J]. Practice and Understanding of Mathematics, 37(8): 112-118.
[7] Hongxia Li, Aidong Jin. (2007) Spectrum analysis of repairable income system with early reserve [J]. Practice and Understanding of Mathematics, 37(5): 89-95.
[8] Youde Tao, Xing Qiao, Jingyuan Yu, et al. (2010) Mathematical model of a repairable computer system [J]. Journal of Xinyang Normal University: Natural Science, 23(3): 330-332.
[9] Youde Tao, Jingyuan Yu, Guangtian Zhu. (2011) Stability and reliability of a repairable computer system [J]. Journal of Xinyang Normal University: Natural Science, 24(1): 18-21.
[10] Chao Gao, Guangtian Zhu. (2011) Repairable system with early warning function [J]. Journal of Applied. Functional Analysis, 13(1): 19-28.
[11] Qixiang Cheng, Dianzhou Zhang, Guoqiang Wei, et al. (2010) Fundamentals of Real Function and Functional Analysis (3rd Edition) [M]. Beijing: Higher Education Press.
[12] Xing Qiao. (2018) Reliability analysis of four kinds of fault systems with early warning function [J]. Journal of Qiqihar University: Natural Science, 34(1): 91-94.
[13] Baolin Feng, Xing Qiao. (2021) Construction of mathematical model of four-robot safety system with early warning function [J]. Journal of Mudanjiang Normal University: Natural Science, (01):37-40.
[14] Liu D X, Sun S Y. (2015) Exponential stability of the solution of single-component repairable system with an identical cold-standby component [J]. Scientific Journal of Control Engineering, 5(5): 57-62.
[15] Lado A, Singh VV. (2019) Cost assessment of complex repairable system consisting of two subsystems in the series configuration using Gumbel Hougaard family copula. Int J Qual Reliab Manag, 36(10):1683–1698.

Sponsors, Associates, and Links

---

• Power Systems Computation
  
  
• Internet of Things (IoT) and Engineering Applications
  
  
• Computing, Performance and Communication Systems
  
  
• Journal of Artificial Intelligence Practice
  
  
• Journal of Network Computing and Applications
  
  
• Journal of Web Systems and Applications
  
  
• Journal of Electrotechnology, Electrical Engineering and Management
  
  
• Journal of Wireless Sensors and Sensor Networks
  
  
• Journal of Image Processing Theory and Applications
  
  
• Mobile Computing and Networking
  
  
• Vehicle Power and Propulsion
  
  
• Frontiers in Computer Vision and Pattern Recognition
  
  
• Knowledge Discovery and Data Mining Letters
  
  
• Big Data Analysis and Cloud Computing
  
  
• Electrical Insulation and Dielectrics
  
  
• Crypto and Information Security
  
  
• Journal of Neural Information Processing
  
  
• Collaborative and Social Computing
  
  
• International Journal of Network and Communication Technology
  
  
• File and Storage Technologies
  
  
• Frontiers in Genetic and Evolutionary Computation
  
  
• Optical Network Design and Modeling
  
  
• Journal of Virtual Reality and Artificial Intelligence
  
  
• Natural Language Processing and Speech Recognition
  
  
• Journal of High-Voltage
  
  
• Programming Languages and Operating Systems
  
  
• Visual Communications and Image Processing
  
  
• Journal of Systems Analysis and Integration
  
  
• Knowledge Representation and Automated Reasoning
  
  
• Review of Information Display Techniques
  
  
• Data and Knowledge Engineering
  
  
• Journal of Database Systems
  
  
• Journal of Cluster and Grid Computing
  
  
• Cloud and Service-Oriented Computing
  
  
• Journal of Networking, Architecture and Storage
  
  
• Journal of Software Engineering and Metrics
  
  
• Visualization Techniques
  
  
• Journal of Parallel and Distributed Processing
  
  
• Journal of Modeling, Analysis and Simulation
  
  
• Journal of Privacy, Trust and Security
  
  
• Journal of Cognitive Informatics and Cognitive Computing
  
  
• Lecture Notes on Wireless Networks and Communications
  
  
• International Journal of Computer and Communications Security
  
  
• Journal of Multimedia Techniques
  
  
• Automation and Machine Learning
  
  
• Computational Linguistics Letters
  
  
• Journal of Computer Architecture and Design
  
  
• Journal of Ubiquitous and Future Networks