Existence and Uniqueness of Solutions

Related lectures (28)

Page 1 of 3

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Explores the resolution of ODEs and the Banach fixed-point theorem.

Covers the Runge-Kutta method for approximating solutions of differential equations.

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

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

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

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

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

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

Explores ordinary differential equations, including general solutions, separate variables, order, linearity, and proof methods.