A class of dynamic integral inequalities with mixed nonlinearities and their applications in partial dynamic systems

Min Fan,Yazhou Tian,Fanwei Meng

doi:10.1186/s13662-018-1934-y

Abstract

This paper investigates a class of nonlinear dynamic integral inequalities with mixed nonlinearities in two independent variables. The obtained results can be utilized to study the boundedness of partial dynamic systems on time scales. At the end, an example is presented to illustrate the main results.

Highlights

1 Introduction The theory and application of time scales was introduced by Hilger [1] and Bohner et al [2]
For the study of time scales theory, integral inequalities are usually used to investigate the boundedness of dynamic systems
We investigate the integral inequalities with mixed nonlinearities and forward jump operators, which can be used to estimate the bounds of the solutions to a class of partial dynamic systems on time scales

Summary

Introduction

The theory and application of time scales was introduced by Hilger [1] and Bohner et al [2]. For the study of time scales theory, integral inequalities are usually used to investigate the boundedness of dynamic systems. Different types of integral inequalities have been widely studied [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26].

Results

Conclusion