Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

  • Yu. V. Il'chenko Київ. нац. ун-т iм. Т. Шевченка
  • A. V. Chaikovs'kyi Київ. нац. ун-т iм. Т. Шевченка

Abstract

The concept of strongly positive operator is generalized, and properties of the operators introduced are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are found.
Published
25.08.2011
How to Cite
Il’chenkoY. V., and Chaikovs’kyiA. V. “Cauchy Problem for a Differential Equation in the Banach Space With Generalized Strongly Positive Operator Coefficient”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 8, Aug. 2011, pp. 1053-70, https://umj.imath.kiev.ua/index.php/umj/article/view/2784.
Section
Research articles