Asymptotics of regularized solutions of a linear nonautonomous system of advanced differential equations

Dolgii, Yu. F.; Surkov, P. G.
April 2010
Differential Equations;Apr2010, Vol. 46 Issue 4, p470
Academic Journal
For a nonautonomous system of linear advanced differential equations, we find asymptotic formulas analytically determining how the regular solutions of this system on an interval of the positive half-line depend on the admissible error. The problem is solved in the following setting: additional smoothness conditions are imposed on the initial functions, but the boundary conditions providing a continuous extension of the solutions of the Cauchy problem to an interval of the positive half-line are violated.


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