Abstract
This paper is devoted to studying the existence conditions for difference equations involving causal operators in the presence of upper and lower solutions in the reverse order. To this end, we prove some new comparison theorems and develop the upper and lower solutions method. Our results improve and extend some relevant results in difference equations. Two examples are given to illustrate the obtained results.
Highlights
1 Introduction In this paper, we are concerned with the existence of solutions for the following difference equations with causal operators:
With the development of boundary value problems (BVPs) for differential equations and for difference equations [18, 19, 25, 26], and the theory of causal differential equations [6,7,8,9, 14, 21, 23], many authors have focused their attention on BVPs for causal difference equations [11, 12, 24]
K ∈ Z[0, T – 1], To obtain existence results of causal difference equations for problem (1) and (2), we use the method of lower and upper solutions coupled with the monotone iterative technique
Summary
K ∈ Z[0, T – 1], To obtain existence results of causal difference equations for problem (1) and (2), we use the method of lower and upper solutions coupled with the monotone iterative technique.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
