Il'chenko Yu. V.
Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
Ukr. Mat. Zh. - 2011. - 63, № 8. - pp. 1053-1070
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.