Abstract
Abstract In this paper, Bai-Ge’s fixed point theorem is used to investigate the existence of positive solutions for second-order boundary value problems of p-Laplacian impulsive dynamic equations on time scales. As an application, we give an example to demonstrate our results. MSC:34B18, 34N05, 39B37.
Highlights
1 Introduction Impulse differential equations describe processes which experience a sudden change of state at certain moments; see the monographs of Lakshmikantham et al [ ] and Samoilenko and Perestyuk [ ]
Impulsive differential equations can be used to describe a lot of natural phenomena such as the dynamics of populations subject to abrupt changes, which cannot be described using classical differential equations
There are a lot of works concerning the p-Laplacian problems on time scales; see, for example, [ – ]
Summary
Impulse differential equations describe processes which experience a sudden change of state at certain moments; see the monographs of Lakshmikantham et al [ ] and Samoilenko and Perestyuk [ ]. The study of dynamic equations on time scales goes back to Stefan Hilger [ ]. There are a lot of works concerning the p-Laplacian problems on time scales; see, for example, [ – ]. Few works have been done on the existence of solutions to boundary value problems (BVP) for p-Laplacian impulsive dynamic equations on time scales; see [ – ]. There is not much work on m-point boundary value problems for the p-Laplacian impulsive dynamic equations on time scales except for that in [ ] by Li et al Our aim in this paper is to fill the gap. Motivated by the above mentioned works, in this paper we consider the existence of positive solutions of the following m-point boundary value problems for p-Laplacian impulsive dynamic equation on time scales:.
Sign-in/Register to view highlights & summary 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.
