Existence of weak solutions for an infinite system of second order differential equations

Document Type: Original Article

Authors

1 ‎Changzhou University‎, China

2 ‎Suzhou Vocational University‎, China

Abstract

‎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 Fr'echet spaces is established in conjunction with the technique of measures of weak noncompactness‎.

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