Acta Mathematica Vietnamica
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On initial and boundary value problems for implicit dynamic equations on time scales
Nguyen Chi Liem
Abstract
This paper is concerned with the index concept, the unique solvability of the initial value problem, the two point boundary-value problem and Green’s function for a class of linear implicit dynamic equations with index-1 on time scales. The results are a generalization of the previous ones for differential and difference-algebraic equations.