Abstract

A generalization of norm type cone-compression and -expansion results due to Krasnosel'skii (see Dokl. Akad. Nauk SSSR NS 135 (1960) 527–530) is presented here for single-valued completely continuous maps defined on a Fréchet space. Applications to second-order differential equations on the half line are presented, and the existence of nontrivial solutions is established. 2000 Mathematics Subject Classification 47H10, 34B40.

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