Discontinuous Dynamical Systems on Time-varying Domains

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Focusing on discontinuous dynamical systems within time-varying domains, this monograph introduces a novel perspective distinct from traditional theories that emphasize time-invariant domains. It explores the switchability of flows to time-varying boundaries and presents principles for system interactions without physical connections. Detailed analyses of various discontinuous systems illustrate practical applications of the theory. This work serves as a valuable reference for researchers and advanced students in mathematics, physics, and mechanics.