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Stability of Differential Equations with Application to Mechanics

Stability of Differential Equations with Application to Mechanics
Major Structural Engineering ,
Faculty Faculty of Transportation Engineering
Department Mathematics
Lead Lecturer Prof. D.Sc. Todor Gichev

Elements of Lyapunov stability theory for ordinary differential equations (ODE) are studied: standard, asymptotic and exponential stability, orbital stability, attractors and chaos, stability of linear ODE. Some applications of stability theory to the mechanics of particles and rigid bodies are considered.