Symplectic Transversality and Endpoint Green Estimates for Finite-Horizon Pontryagin Systems
A new research paper published on arXiv details advancements in finite-horizon Pontryagin boundary value systems. The study focuses on horizon-uniform local branches and introduces a two-point endpoint inverse for linearization. Researchers verified this inverse using scaled stable-unstable boundary transversality, establishing an associated endpoint-corrected Green estimate. This framework ensures existence, uniqueness, and Lipschitz dependence, with constants independent of the horizon, applicable to smooth nonlinear endpoint maps and linear-quadratic systems. AI