3 papers
math.AP2026
Nonlinear elliptic Dirichlet boundary value problems on time scales
Shalmali Bandyopadhyay, F. Ayça Ãetinkaya, Tom Cuchta
We establish existence and uniqueness results for nonlinear elliptic Dirichlet boundary value problems on n-dimensional time scale domains. Time scales provide a unified framework…
math.CA2025
Prüfer Transformation and Spectral Analysis for a Sturm--Liouville-Type Equation
Shalmali Bandyopadhyay, F. Ayça Ãetinkaya, Tom Cuchta
We study a second-order differential equation involving a quasi-derivative, leading to a non-self-adjoint Sturm--Liouville-type problem with four coefficient functions. To analyze…
math.CA2025
Discrete Generating Series and Linear Difference Equations
Vitaly Alekseev, Tom Cuchta, Alexander Lyapin
We define discrete generating series for arbitrary functions \( f \colon \mathbb{Z}^n \rightarrow \mathbb{C} \) and derive functional relations that these series satisfy. For linea…