Green's Function: Theory and Applications

Related lectures (25)

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

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

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

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.