Geodesic
On oscillatory behavior of third-order half-linear difference equations
Said R. Grace1 ; Gokula Nanda Chhatria2 ; Said R. Grace ; Gokula Nanda Chhatria
1Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
2Department of Mathematics and Statistics, Vignan's Foundation for Science, Technology and Research (Deemed to be University), Deshmukhi-508284, Hyderabad Campus, India
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 271-278 
Said R. Grace; Gokula Nanda Chhatria; Said R. Grace; Gokula Nanda Chhatria. On oscillatory behavior of third-order half-linear difference equations. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 271-278. http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a3/
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     title = { On oscillatory behavior of third-order half-linear difference equations},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {271--278},
     year = {2025},
     volume = {94},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a3/}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we focus on the oscillation of third-order difference equations of nonlinear type. In contrast to earlier methods, we employ a novel approach that is based on the linearization of the studied equation to obtain the main results. Our new results extend, simplify, and improve existing results in the literature. An example is provided to illustrate the main results.