Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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

Nguyen Chi Liem

pp. 399-412

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.