Compact kernel sections for nonautonomous Klein–Gordon–Schrödinger equations on infinite lattices

In this paper, we study the nonautonomous Klein–Gordon–Schrödinger equations on infinite lattices. We first prove the existence of compact kernel sections for the corresponding process and then obtain an upper bound of the Kolmogorov ε-entropy for these kernel sections. Finally, we establish the upper semicontinuity of the kernel sections.