Advanced Analysis II: Homogeneous ODEs and Banach Spaces

Related lectures (30)

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Explores equilibrium and stability of a vertical metronome system with springs.

Covers fixed point methods for finding zeros of non-linear equations.

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Explores fixed point methods for non-linear equations and dynamic models in MATLAB.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.