In this paper, we investigate the existence of weak solutions for a boundary value problem of an infinite system of second order differential equations. As the main tool, a new Krasnosel'skii type fixed point theorem in Fréchet spaces is established in conjunction with the technique of measures of weak noncompactness.
"Existence of weak solutions for an infinite system of second order differential equations." Adv. Oper. Theory 4 (2) 514 - 528, Spring 2019. https://doi.org/10.15352/aot.1807-1400