Problem without initial conditions for linear and almost linear degenerate operator differential equations
Abstract
We study the problem without initial conditions for linear and almost linear degenerate operator differential equations in Banach spaces. The uniqueness of a solution of this problem is proved in the classes of bounded functions and functions with exponential behavior as t → –∞. We also establish sufficient conditions for initial data under which there exists a solution of the considered problem in the class of functions with exponential behavior at infinity.Downloads
Published
25.03.2009
Issue
Section
Research articles
How to Cite
Dmytryshyn, Yu. B. “Problem Without Initial Conditions for Linear and Almost Linear Degenerate Operator Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 61, no. 3, Mar. 2009, pp. 322-3, https://umj.imath.kiev.ua/index.php/umj/article/view/3022.