Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay - Engineering

ENG > Vol.15 No.10, October 2023

Engineering

Volume 15, Issue 10 (October 2023)

ISSN Print: 1947-3931 ISSN Online: 1947-394X

Google-based Impact Factor: 1.09 Citations

Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay ()

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Download as PDF (Size: 381KB) PP. 632-646

DOI: 10.4236/eng.2023.1510044 145 Downloads 533 Views

Author(s)

Suping Wang^1*, Qiaozhen Ma², Xukui Shao¹

Affiliation(s)

¹School of Mathematics and Information Engineering, Longdong University, Qingyang, China.
²School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China.

ABSTRACT

This work is devoted to the following suspension bridge with state-dependent delay:

. The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability estimates of the system are established, based on which the existence of global attractor with finite fractal dimension is obtained. Furthermore, the existence of exponential attractor is proved.

KEYWORDS

Suspension Bridge Equation, State-Dependent Delay, Global Attractor, Exponential Attractor, Quasi-Stability

Share and Cite:

Wang, S. , Ma, Q. and Shao, X. (2023) Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay. Engineering, 15, 632-646. doi: 10.4236/eng.2023.1510044.

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