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

Authors

  • L. M. Gershtein

Abstract

For the complete second-order differential equation with unbounded operator coefficients u the Cauchy problem is studied. By using the "coinmutant method", we construct the coercive solution of this problem is in the Holder space in the case where the operator В has the same "strength" as the operator А^2.

Published

25.10.1993

Issue

Section

Short communications

How to Cite

Gershtein, L. M. “On the Solvability of a Complete Second-Order Differential Equation in Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 10, Oct. 1993, pp. 1449–1454, https://umj.imath.kiev.ua/index.php/umj/article/view/5950.