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4 Conclusion
In this article, we have introducesd some basic
properties of delta -calculus and delta -calculus
on a time scale compared to the classical
Newton-Leibniz calculus. We have analyzed a non
classical -difference equation, by using a
transformation for the function which is involved in
it. To continue, we have determined and combined
some explicit formulas for eigenvalues and their
count for the resulting eigenvalue problem and we
have provided examples to illustrate the
effectiveness of the proposed theorems. The
obtained result will help us inour further study to
find a lower and upper bound for the -
eigenvalue to analyze the asymptotic behavior of
eigenvalues on a Time Scale These results will
be combined with some well-known properties of
oscillation theory to study the countability of these
eigenvalues.
References:
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WSEAS TRANSACTIONS on MATHEMATICS
DOI: 10.37394/23206.2024.23.37
Elisabeta Peti, Enkeleda Zajmi Kotonaj, Vera Hoxha