Nonoscillatory solutions of discrete fractional order equations with positive and negative terms

Autor: Jehad Alzabut, Said Rezk Grace, A. George Maria Selvam, Rajendran Janagaraj
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematica Bohemica, Vol 148, Iss 4, Pp 461-479 (2023)
Druh dokumentu: article
ISSN: 0862-7959
2464-7136
DOI: 10.21136/MB.2022.0157-21
Popis: This paper aims at discussing asymptotic behaviour of nonoscillatory solutions of the forced fractional difference equations of the form \align\Delta^{\gamma}u(\kappa)&+\Theta[\kappa+\gamma,w(\kappa+\gamma)] =&\Phi(\kappa+\gamma)+\Upsilon(\kappa+\gamma)w^{\nu}(\kappa+\gamma) +\Psi[\kappa+\gamma,w(\kappa+\gamma)],\quad\kappa\in\mathbb{N}_{1-\gamma}, u_0 =&c_0, where $\mathbb{N}_{1-\gamma}=\{1-\gamma,2-\gamma,3-\gamma,\cdots\}$, $0
Databáze: Directory of Open Access Journals