Trivial differential equations in spaces $L_p, 0 < p< 1$

• Дата: 1992
• Автори: Popova , L. V., Попова , Л. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8176
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A description of the set $X_p$  of all solutions of the trivial Cauchy problem in $L_p, 0 < p< 1$ is presented. The principal result is Theorem 2, which asserts that $X_p$ is a closed subspace of the $p$ -Banach space $H_p$ of all curves in $L_p$ that satisfy a Höl...