On initial and boundary value problems for implicit dynamic equations on time scales (Q384111)

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scientific article; zbMATH DE number 6233017
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On initial and boundary value problems for implicit dynamic equations on time scales
scientific article; zbMATH DE number 6233017

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    On initial and boundary value problems for implicit dynamic equations on time scales (English)
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    26 November 2013
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    This paper develops the theory of implicit dynamic equations on time scales, unifying and generalizing the theories of differential-algebraic equations and the theory of singular difference equations. The unique solvability of initial value problems and two-point boundary value problems are studied. A formula for the Green function is obtained.
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    time scales
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    implicit dynamic equation
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    linear dynamic equation
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    index
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    boundary-value problem
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    Green's function
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