On Dirac systems with multi-eigenparameter-dependent transmission conditions

In this work, we investigate a Dirac system which has discontinuities at finite interior points and contains eigenparameter in both boundary transmission conditions. By defining suitable Hilbert space H associated with the problem, generate self-adjoint operator T such that eigenvalues of considered problem coincide those T. We construct fundamental solutions get asymptotic formulas for solutions, eigen-vectorfunctions. Also, examine behaviour norm eigenvectors corresponding to Green?s matrix, derive resolvent terms matrix. Finally, estimate special case, when our no conditions, obtained results Tharwat (Boundary Value Problems, DOI:10.1186/s13661-015-0515-1, 2016).