Dal, FGuseinov, GSMathematics2024-07-052024-07-0520051023-61981563-512010.1080/102361904123313171392-s2.0-11844298419https://doi.org/10.1080/10236190412331317139https://hdl.handle.net/20.500.14411/1225In this paper, we study the continuity and boundedness properties of the composition operator Fy ( t )= f ( t , y ( t )), where t is a discrete independent variable. A necessary and sufficient condition for the acting of F from a space p 1 ( p 1 greater than or equal to1) into another p 2 ( p 2 greater than or equal to1) is also established.eninfo:eu-repo/semantics/closedAccesscomposition operatorcontinuous and bounded nonlinear operatorsdiscrete semi-axisNemytskii operatorProperties of Discrete Composition OperatorsArticleQ3Q31112127WOS:0002262042000023