FILOMAT, vol.36, no.3, pp.813-827, 2022 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Hamiltonian system, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution, BOUNDARY-VALUE-PROBLEMS, PERIODIC-SOLUTIONS, M(LAMBDA) THEORY, CONTROLLABILITY, PENDULUM
We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion.