Publications

1. Tom Cuchta, Nick Wintz Eigenvalue comparisons for a conformable boundary value problem with impulse To appear in: Continuous and Discrete Dynamics: Theory and Applications

2. Megan Benkendorf†, Tom Cuchta, Tim Lund†, Gauravpreet Singh† The Anger difference equation Journal of Classical Analysis To appear, 2025

3. F. Ayça Çetinkaya, Tom Cuchta, and Nick Wintz Solutions of dynamic Sturm--Liouville conformable initial and boundary value problems In: Functional Differential Equations and Dynamic Equations on time scales - With Applications to Continuum Mechanics, 2025

4. Tom Cuchta and Nick Wintz Foundations of linear control on time scales In Dynamic Equations on Time Scales and Applications; editors: Ravi P. Agarwal, Bipan Hazarika, and Sanket Tikare, 2024.

5. Svetlana Akhtamova, Tom Cuchta, and Alexander Lyapin An Approach to Multidimensional Discrete Generating Series Mathematics Mathematics, 12(1):143, 2024.

6. Tom Cuchta, David Grow, and Nick Wintz Discrete matrix hypergeometric functions Journal of Mathematical Analysis and Applications J. Math. Anal. Appl., 518(2):126716, 2023.

7. Tom Cuchta, Dylan Poulsen, and Nick Wintz Linear quadratic tracking with continuous conformable derivatives European Journal of Control Eur. J. Control, 72:100808, 2023.

8. Tom Cuchta and Rui Ferreira The heat equation on time scales Opuscula Mathematica Opusc. Math., 43(4), 475-491, 2023.

9. Tom Cuchta and Robert J. Niichel Memoryless properties on time scales Mathematica Slovaca Math. Slovaca, 73(4):911–920, 2023.

10. Samer Assaf and Tom Cuchta Discrete complementary exponential and sine integral functions Demonstratio Mathematica Demstr. Math. 56(1):20230119, 2023.

11. Samer Assaf and Tom Cuchta The rational sequence topology is partially metrizable Topology Proceedings Top. Proc., 62:65-72, 2023.

12. Samer Assaf and Tom Cuchta The half disc topology is partially metrizable Topology Proceedings Top. Proc., 61:139–144, 2023.

13. Tom Cuchta and Dallas Freeman† Discrete polylogarithm functions Tatra Mountains Mathematical Publications Tatra Mt. Math. Publ., 84(2):19-24, 2023.

14. Tom Cuchta, David Grow, and Nick Wintz Divergence criteria for matrix generalized hypergeometric series Proceedings of the American Mathematical Society Proc. Amer. Math. Soc., 150(3):1235–1240, 2022.

15. Martin Bohner, Tom Cuchta, and Sabrina Streipert Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients Mathematical Methods in the Applied Sciences Math. Meth. Appl. Sci., 45(10):5821–5838, 2022.

16. Alexander Lyapin and Tom Cuchta Sections of a generating series of a solution to a difference equation in a simplicial cone Bulletin of Irkutsk State University, Series Mathematics Bull. Irkutsk State Univ. Ser. Math., 42:75–89, 2022.

17. Tom Cuchta and Nick Wintz Periodic functions related to the Gompertz difference equation Mathematical Biosciences and Engineering Math. Biosci. Eng., 19(9):8774–8785, 2022.

18. Umit Aksoy, Tom Cuchta, Svetlin Georgiev, and Yeliz Okur Filomat A normal distribution on time scales with application Filomat, 36(16):5391-5404, 2022.

19. Tom Cuchta and Svetlin Georgiev Analysis of the bilateral Laplace transform on time scales with applications International Journal of Dynamical Systems and Differential Equations Int. J. Dyn. Syst. Differ. Equ. Vol. 11, Nos. 3/4, pp.255–274, 2021.

20. Tom Cuchta, Robert Jon Niichel, and Sabrina Streipert A Gompertz distribution for time scales Turkish Journal of Mathematics Turk J. Math., 45(1):185-200, 2021.

21. Tom Cuchta, Rebecca Luketic† Discrete Hypergeometric Legendre Polynomials Mathematics Mathematics 9(20), 2546, 2021.

22. Tom Cuchta, Sabrina Streipert A discrete SIS model of fractional order International Journal of Dynamical Systems and Differential Equations Int. J. Dyn. Syst. Differ. Equ. Vol 11, Nos. 3/4, pp.275–286, 2021.

23. Tom Cuchta and Sabrina Streipert Dynamic Gompertz Model Applied Mathematics and Information Sciences Appl. Math. Info. Sci., 14(1):9–17, 2020.

24. F. Ayça Çetinkaya, Tom Cuchta Sturm-Liouville and Riccati Conformable Dynamic Equations Advances in Dynamical Systems and Applications Adv. Dyn. Syst. Appl., 15(1):1–13, 2020.

25. Tom Cuchta, Brooke Fincham† Some new Gompertz fractional difference equations Involve Involve, 13(4):705–719, 2020.

26. Tom Cuchta, Michael Pavelites†, and Randi Tinney† The Chebyshev difference equation Mathematics Mathematics 8(1), 74, 2020.

27. Samer Assaf, Tom Cuchta, and Matt Insall Binary metrics Topology and its Applications Topol. Appl., 274:107116, 2020.

28. Tom Cuchta, David Grow, and Nick Wintz A dynamic matrix exponential via a matrix cylinder transformation Journal of Mathematical Analysis and Applications J. Math. Anal. Appl., 479(1):733–751, 2019.

29. Martin Bohner and Tom Cuchta The generalized hypergeometric difference equation Demonstratio Mathematica Demonstr. Math., 51(1), pp. 62–75 (2018).

30. Martin Bohner and Tom Cuchta The Bessel difference equation Proceedings of the American Mathematical Society Proc. Amer. Math. Soc. 145 (2017), no. 4, 1567–1580.

31. A. Bishop, T. Cuchta, K. Lokken, and O. Pechenik The nilradical and non-nilradical graphs of commutative rings International Journal of Algebra Int. J. Algebra 2 (2008), no. 17-20, 981–994.

32. T. Cuchta, K. Lokken, and W. Young Zero-divisor graphs of localizations and modular rings Rose-Hulman Undergraduate Math Journal Rose-Hulman Undergraduate Math Journal, vol. 9 (2008).