Differential-algebraic systems with maxima |
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Authors: | Tadeusz Jankowski |
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Affiliation: | Gdansk University of Technology, Department of Differential Equations, 11/12 G. Narutowicz Str., 80-952 Gdańsk, Poland |
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Abstract: | The numerical-analytic method is applied to a class of nonlinear differential-algebraic systems with maxima to find a solution assuming that functions (f,g) satisfy the Lipschitz conditions in matrix notation. This solution is given as a limit of corresponding sequences including Seidel's iterations too. Some existence results are also obtained for problems with retardations. |
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