On the approximation of the elastic bounce problem on Riemannian manifolds

DOI10.1016/0022-0396(83)90035-9zbMath0498.58011OpenAlexW1980870141MaRDI QIDQ1171317

Danilo Percivale, Giusseppe Buttazzo

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90035-9

zbMATH Keywords

elastic bounce problem on Riemannian manifolds

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global Riemannian geometry, including pinching (53C20)

Related Items (19)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ Periodic bounce trajectories with a low number of bounce points ⋮ A sweeping process approach to inelastic contact problems with general inertia operators ⋮ An expression of classical dynamics ⋮ Metodi topologici, disequazioni variazionali e traiettorie di rimbalzo elastico ⋮ Complete orbits for twist maps on the plane: extensions and applications ⋮ On the approximation of the elastic bounce problem on Riemannian manifolds ⋮ Uniqueness in the elastic bounce problem. II ⋮ Existence and approximation for vibro-impact problems with a time-dependent set of constraints ⋮ Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions ⋮ Kinetic quasi-velocities in unilaterally constrained Lagrangian mechanics with impacts and friction ⋮ Existence of periodic solutions in the systems of the billiard type ⋮ Bounce trajectories with one bounce point ⋮ Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws ⋮ Penalty approximation for non-smooth constraints in vibroimpact ⋮ Some results on optimal control with unilateral state constraints ⋮ Bounce problem with weak hypotheses of regularity ⋮ Multiplicity of solutions for the bounce problem ⋮ Uniqueness in the elastic bounce problem

Cites Work

• On the approximation of the elastic bounce problem on Riemannian manifolds
• Sull'approssimazione del problema del rimbalzo unidimensionale
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