Problem without initial conditions for linear and almost linear degenerate operator differential equations |
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Authors: | Yu B Dmytryshyn |
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Institution: | 1.Lviv National University,Lviv,Ukraine |
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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. |
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Keywords: | |
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