Problem without initial conditions for linear and almost linear degenerate operator differential equations

  • Yu. B. Dmytryshyn

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.
Published
25.03.2009
How to Cite
DmytryshynY. 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.
Section
Research articles