Abstract
AbstractWe study the existence of a.e. monotonic $$L_\varphi $$
L
φ
-solutions for the product of n-quadratic integral equations. As indicated by the different continuity properties of the considered operators in Orlicz spaces, we study three different cases in which the generating N-functions satisfy the conditions $$\Delta '$$
Δ
′
, $$\Delta _2,$$
Δ
2
,
and $$\Delta _3$$
Δ
3
. The method adopted in this paper consists of an appropriate application of some measure of noncompactness and the Darbo fixed point theorem for solving operators acting on the product of n-Orlicz spaces.
Publisher
Springer Science and Business Media LLC
Reference34 articles.
1. Abdalla, A.M., Salem, H.A.H., Cichoń, K.: On positive solutions of a system of equations generated by Hadamard fractional operators. Adv. Differ. Equ. (2020). https://doi.org/10.1186/s13662-020-02702-0
2. Agarwal, R.P., O’Regan, D., Wong, P.: Constant-sign solutions of a system of Volterra integral equations in Orlicz spaces. J. Integral Equ. Appl. 20, 337–378 (2008)
3. Appell, J., Väth, M.: Weakly singular Hammerstein–Volterra operators in Orlicz and Hölder spaces. Z. Anal. Anwend. 12, 663–676 (1993). https://doi.org/10.4171/ZAA/539
4. Avery, R.I., Anderson, D.R., Henderson, J.: Compression-expansion fixed point theorem of product type. Commun. Appl. Nonlin. Anal. 26, 44–54 (2019)
5. Banaś, J., Goebel, K.: Measures of Noncompactness in Banach Spaces. Lect. Notes Math. 60, M. Dekker, New York - Basel (1980)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献