Nar, A, Bolat, Y, Deger, SU, Gevgesoglu, MMurat GEVGEŞOĞLU, Yaşar BOLAT, Aysun NAR, Serbun Ufuk DEĞER2023-05-092023-05-092022.01.012022-03-01Bolat, Y., Bolat, Y., Nar, A., Değer, S. (2022). Nonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71(1), 188-2031303-5991https://hdl.handle.net/20.500.12597/14847https://search.trdizin.gov.tr/publication/detail/511702/nonoscillation-and-oscillation-criteria-for-class-of-higher-order-difference-equations-involving-generalized-difference-operatorhttps://hdl.handle.net/20.500.12597/6348In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of higher-order difference equations involving the generalized difference operator of the form$Delta _{a}^{k}(p_{n}Delta _{a}^{2}y_{n})=f(n,y_{n},Delta_{a}y_{n},Delta _{a}^{2}y_{n},...,Delta _{a}^{k+1}y_{n}),$where $Delta _{a}$ is generalized difference operator which is defined as $Delta _{a}y_{n}=y_{n+1}-ay_{n}, aneq{0}.$info:eu-repo/semantics/openAccessRESEARCH10.31801/cfsuasmas.904804WOS:00079300930000451170218818820320371