This work develops scattering and spectral analysis of a discrete impulsive Sturm-Liouville equation with parameter in boundary condition. Giving the Jost solution solutions this problem, we find function problem. Discussing properties function, solutions, asymptotic behavior solution, Green resolvent operator, continuous point spectrum Finally, give an example which main results are made expli...

A class of differential Riccati equations (DREs) is considered whereby the evolution of any solution can be identified with the propagation of a value function of a corresponding optimal control problem arising in L2-gain analysis. By exploiting the semigroup properties inherited from the attendant dynamic programming principle, a max-plus primal space fundamental solution semigroup of max-plus...