Application of the ergodic theory to the investigation of a boundaryvalue problem with periodic operator coefficient

• Datum: 2013
• Hauptverfasser: Boichuk, О. A., Pokutnyi, О. О., Бойчук, А. А., Покутный, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2422
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions for the solvability of a family of differential equations with periodic operator coefficient and periodic boundary condition by using the notion of the relative spectrum of a linear bounded operator in a Banach space and the ergodic theorem. We show...