Dynamical Approaches to Spectral Theory of Operators

Related lectures (28)

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Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Covers separable differential equations of order 1, defining separable equations and providing examples.

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

Covers the analysis of speed variation using differential equations and small time intervals.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Covers solutions of differential equations with initial conditions and boundedness concepts.