Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space

• Datum: 2014
• 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 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2248
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions for the existence of bounded solutions of linear differential equations in the Fréchet space. The solutions are constructed with the use of a strong generalized inverse operator.