Publications († denotes undergraduate student)
- Tom Cuchta and Nick Wintz. Foundations of linear control on time scales. In Dynamic Equations on Time Scales and Applications. In press, 2024.
- 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. In press 2024.
- Svetlana Akhtamova, Tom Cuchta, and Alexander Lyapin. An Approach to Multidimensional Discrete Generating Series. Mathematics, 12(1):143, 2024.
- Tom Cuchta, David Grow, and Nick Wintz. Discrete matrix hypergeometric functions. J. Math. Anal. Appl., 518(2):126716, 2023.
- Tom Cuchta, Dylan Poulsen, and Nick Wintz. Linear quadratic tracking with continuous conformable derivatives. Eur. J. Control, 72:100808, 2023.
- Tom Cuchta and Rui Ferreira. The heat equation on time scales. Opusc. Math., 43(4), 475-491, 2023.
- Tom Cuchta and Robert J. Niichel. Memoryless properties on time scales. Math. Slovaca, 73(4):911–920, 2023.
- Samer Assaf and Tom Cuchta. Discrete analogues of complementary exponential and sine integral functions. Demonstr. Math., 56(1):20230119, 2023.
- Samer Assaf and Tom Cuchta. The rational sequence topology is partially metrizable. Top. Proc., 62:65–72,2023.
- Samer Assaf and Tom Cuchta. The half disc topology is partially metrizable. Top. Proc., 61:139–144, 2023.
- Tom Cuchta and Dallas Freeman†. Discrete polylogarithm functions. Tatra Mt. Math. Publ., 84:1-6, 2023.
- Tom Cuchta, David Grow, and Nick Wintz. Divergence criteria for matrix generalized hypergeometric series. Proc. Amer. Math. Soc., 150(3):1235–1240, 2022.
- Martin Bohner, Tom Cuchta, and Sabrina Streipert. Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients. Math. Meth. Appl. Sci., 45(10):5821–5838, 2022.
- Alexander Lyapin and Tom Cuchta. Sections of a generating series of a solution to a difference equation in a simplicial cone. Bull. Irkutsk State Univ. Ser. Math., 42:75–89, 2022.
- Tom Cuchta and Nick Wintz. Periodic functions related to the Gompertz difference equation. Math. Biosci. Eng., 19(9):8774–8785, 2022.
- Umit Aksoy, Tom Cuchta, Svetlin Georgiev, and Yeliz Okur. A normal distribution on time scales with application. Filomat, 36(16):5391-5404, 2022.
- Tom Cuchta, Svetlin Georgiev. Analysis of the bilateral Laplace transform on time scales with applications. Int. J. Dyn. Syst. Differ. Equ. Vol. 11, Nos. 3/4, pp.255–274, 2021.
- Tom Cuchta, Robert Jon Niichel, Sabrina Streipert. A Gompertz distribution for time scales. Turk J. Math., 45(1):185-200, 2021.
- Tom Cuchta, Rebecca Luketic†. Discrete Hypergeometric Legendre Polynomials. Mathematics 9(20), 2546, 2021.
- Tom Cuchta, Sabrina Streipert. A discrete SIS model of fractional order. Int. J. Dyn. Syst. Differ. Equ. Vol 11, Nos. 3/4, pp.275–286, 2021.
- Tom Cuchta, Sabrina Streipert. Dynamic Gompertz Model. Appl. Math. Info. Sci., 14(1):9–17, 2020.
- F. Ayça Çetinkaya, Tom Cuchta. Sturm-Liouville and Riccati Conformable Dynamic Equations. Adv. Dyn. Syst. Appl., 15(1):1–13, 2020.
- Tom Cuchta, Brooke Fincham†. Some new Gompertz fractional difference equations. Involve, 13(4):705–719, 2020.
- Tom Cuchta, Michael Pavelites†, Randi Tinney†. The Chebyshev Difference Equation. Mathematics 8(1), 74, 2020.
- Samer Assaf, Tom Cuchta, Matt Insall. Binary metrics. Topol. Appl., 274:107116, 2020.
- Tom Cuchta, David Grow, Nick Wintz. A dynamic matrix exponential via a matrix cylinder transformation. J. Math. Anal. Appl., 479(1):733–751, 2019.
- Martin Bohner, Tom Cuchta. The generalized hypergeometric difference equation. Demonstratio Mathematica, 51(1), pp. 62–75 (2018).
- Martin Bohner, Tom Cuchta. The Bessel difference equation. Proc. Amer. Math. Soc. 145 (2017), no. 4, 1567–1580.
- A. Bishop, T. Cuchta, K. Lokken, O. Pechenik. The nilradical and non-nilradical graphs of commutative rings. Int. J. Algebra, 2 (2008), no. 17-20, 981–994.
- T. Cuchta, K. Lokken, W. Young. Zero-divisor graphs of localizations and modular rings. Rose-Hulman Undergraduate Math Journal, vol. 9 (2008).