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Delay Differential Equations (DDEs) are a crucial class of mathematical models used to describe systems where the rate of change is influenced by past states, not solely the current state. These time-delay systems are vital for accurately capturing phenomena across engineering, biology, and control theory, particularly when analyzing stability analysis DDE and understanding the complex dynamical systems with delay. Investigating nonlinear delay equations allows for a deeper understanding of behaviors that might involve amplification or oscillations, providing insights into system responses over time.
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This volume compiles the proceedings of a prestigious mathematics symposium held in Shanghai during June, bringing together leading researchers in differential geometry and differential equations. It features cutting-edge research, theoretical advancements, and practical applications across these fundamental areas of mathematics, serving as an invaluable resource for academics, professionals, and students alike.