Abstract
In this paper, we obtain sufficient conditions for the nonexistence of global solutions for some classes of q-difference inequalities. Our approach is based on the weak formulation of the problem, a particular choice of the test function, and some q-integral inequalities.
Highlights
In this paper, we obtain sufficient conditions for the nonexistence of global solutions for some classes of q-difference inequalities
We are concerned with the q-difference inequality (Dqy)(t) ≥ y(qt) p, t > 0, (1)
There are several works in the literature concerning the nonexistence of solutions for different classes of differential equations or inequalities involving nonstandard derivatives
Summary
1 Introduction In this paper, we obtain sufficient conditions for the nonexistence of global solutions for some classes of q-difference inequalities. The study of sufficient conditions for the nonexistence of global solutions to differential equations or inequalities provides important information in theory as in applications. There are several works in the literature concerning the nonexistence of solutions for different classes of differential equations or inequalities involving nonstandard derivatives.
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.
