On the solvability of a complete second-order differential equation in Banach space

• Дата: 1993
• Автори: Gershtein, L. M., Герштейн, Л. М.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1993
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5950
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For the complete second-order differential equation with unbounded operator coefficients $u'' + A(t)u' + B(i)u = f, \quad u(0) = u_o, \quad u'(0)=u_1$ the Cauchy problem is studied. By using the "coinmutant method", we construct the coercive sol...