Investigation reveals that solvability in dynamic equations on time scales implies solvability in differential equations, suggesting significant interconnections.
This paper investigates the relationship between solutions of boundary value problems for ordinary differential equations and those for a family of dynamic equations on time scales. The main result demonstrates that, when the graininess tends to zero, the solvability of the problem for the family of dynamic equations ensures the solvability of its continuous counterpart. The opposite result is also established.
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Stanzhytskyi et al. (2025) studied this question.
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