A. А. Al-Tai

Approximation of Bi-Continuous Semigroups in the Trotter-Kato Framework: Application to Diffusion Equations with Non-Local Boundary Conditions

This study develops and practically reformulates the Trotter–Kato theorem for the approximation of bi-continuous semigroups defined on Banach spaces with weaker locally convex Hausdorff topologies. This method extends the Trotter–Kato framework to semigroups with weak continuity by moving the analysis from the classica...