On the uniqueness of the solution of nonlinear differential-algebraic systems |
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Authors: | A A Shcheglova |
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Institution: | 1.Institute for System Dynamics and Control Theory Siberian Branch,Russian Academy of Sciences,Irkutsk,Russia |
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Abstract: | We consider the Cauchy problem for a system of nonlinear ordinary differential equations unsolved for the derivative of the
unknown vector function and identically degenerate in the domain. We prove a theorem on the coincidence of two smooth solutions
of the considered problem. We show that, under some additional assumptions, the above-mentioned problem cannot have classical
solutions with less smoothness. We obtain conditions under which the problem has a fixed finite number of solutions. |
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Keywords: | |
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