Some Nonlinear Integral Inequalities and Their Discrete Analogues

نویسندگان

  • WEIHONG SHENG
  • WEI NIAN LI
چکیده

The purpose of this paper is to investigate some nonlinear integral inequalities and their discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain differential equations, integral equations and difference equations. Mathematics subject classification (2010): 26D10, 26D15.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some Nonlinear Delay Integral Inequalities and Their Discrete Analogues

In this paper, we investigate some nonlinear delay integral inequalities and their analogues which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay differential equations, delay integral equations and delay difference equations.

متن کامل

On Some Nonlinear Integral Inequalities on Time Scales

In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.

متن کامل

Bounds for Certain Nonlinear Dynamic Inequalities on Time Scales

To unify the theory of continuous and discrete dynamic systems, in 1988, Hilger 1 first introduced the calculus on time scales. Motivated by the paper 1 , many authors have expounded on various aspects of the theory of dynamic equations on time scales. For example, we refer the reader to the literatures 2–7 and the references cited therein. At the same time, a few papers 8–13 have studied the t...

متن کامل

Bounds for Certain New Integral Inequalities on Time Scales

The study of dynamic equations on time scales, which goes back to its founder Hilger 1 , is an area of mathematics that has recently received a lot of attention. For example, we refer the reader to literatures 2–8 and the references cited therein. At the same time, some fundamental integral inequalities used in analysis on time scales have been extended by many authors 9–14 . In this paper, we ...

متن کامل

Some New Hilbert-pachpatte’s Inequalities

Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in this paper. Other inequalities are also given in remarks.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011