Classical solutions of boundary value problems for differential-difference equations |
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Authors: | D. A. Neverova A. L. Skubachevskii |
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Affiliation: | 19755. Peoples’ Friendship University of Russia, Moscow, Russia
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Abstract: | For a differential-difference equation of the second order on the interval [0, d], we study the existence of a classical solution for arbitrary continuous right-hand sides. We show that a necessary and sufficient condition for the existence of a classical solution of the problem in the case where there exists a generalized solution is the absence of argument shifts in the derivatives of the unknown function occurring in the equation. |
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