In this talk, we focus on several Schrödinger type equations on locally finite graphs. Firstly, we will introduce some preliminaries and basic settings for calculus of variation on graphs. The main contribution of this talk is to propose some results about the existence and convergence of solutions for these equations. In additional, we will also provide a numerical experiment to illustrate the results. This talk is based on the joint work with Han X.L., Shao M.Q. and Zhang N.

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