Existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 141-148
Abderrahim Guerfi; Abdelouaheb Ardjouni; Abderrahim Guerfi; Abdelouaheb Ardjouni. Existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 141-148. http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a3/
@article{AMUC_2022_91_2_a3,
     author = {Abderrahim Guerfi and Abdelouaheb Ardjouni and Abderrahim Guerfi and Abdelouaheb Ardjouni},
     title = { Existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {141--148},
     year = {2022},
     volume = {91},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a3/}
}
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In this paper, under some sufficient conditions on the nonlinearity, we established the existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms. Our approach is based on the application of Schauder's fixed point theorem for proving the results. Finally, an example is given to illustrate our results.