Ordinary Differential Equations
Stability refers to the behavior of solutions to differential equations as they relate to small changes in initial conditions or parameters. It highlights whether solutions tend to stay close to a steady state over time or diverge away, and it's essential for understanding the long-term behavior of systems modeled by differential equations. Stability can indicate how well a system can return to equilibrium after perturbations, making it a key concept in analyzing both linear and nonlinear systems.
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