Asymptotic Properties of Solutions to Discrete Sturm-Liouville Monotone Type Equations
نویسندگان
چکیده
Abstract We investigate the discrete equations of form Δ ( r n x ) = a f σ + b . \Delta \left( {{r_n}\Delta {x_n}} \right) = {a_n}f\left( {{x_{\sigma n \right)}}} + {b_n}. Using Knaster-Tarski fixed point theorem, we study solutions with prescribed asymptotic behaviour. Our technique allows us to control degree approximation. In particular, present results concerning harmonic and geometric approximations solutions.
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ژورنال
عنوان ژورنال: Tatra mountains mathematical publications
سال: 2023
ISSN: ['1210-3195', '1338-9750']
DOI: https://doi.org/10.2478/tmmp-2023-0014