scholarly journals Nonlinear integral inequalities on time scales with ‘maxima’

2014 ◽  
Vol 2014 (1) ◽  
pp. 255
Author(s):  
Phollakrit Thiramanus ◽  
Jessada Tariboon ◽  
Sotiris K Ntouyas
Keyword(s):  
Time Scales ◽  
Integral Inequalities

scholarly journals Qi Type Diamond-Alpha Integral Inequalities

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 449
Author(s):  
Zhong-Xuan Mao ◽  
Ya-Ru Zhu ◽  
Bao-Hua Guo ◽  
Fu-Hai Wang ◽  
Yu-Hua Yang ◽  
...  
Keyword(s):  
Time Scales ◽  
Sufficient Conditions ◽  
Integral Inequalities

In this paper, we establish sufficient conditions for Qi type diamond-alpha integral inequalities and its generalized form on time scales.

scholarly journals Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Yazhou Tian ◽  
A. A. El-Deeb ◽  
Fanwei Meng
Keyword(s):  
Time Scales ◽  
Qualitative Theory ◽  
Integral Inequalities ◽  
Dynamic Equations ◽  
Fredholm Type ◽  
Explicit Bounds ◽  
Theoretical Results ◽  
Nonlinear Delay

We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dynamic equations. An example is also presented to illustrate the theoretical results.

scholarly journals Some new generalizations of Maroni inequality on time scales

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
Li Yin ◽  
Changjian Zhao
Keyword(s):  
Time Scales ◽  
Integral Inequalities ◽  
Special Cases

AbstractThe aim of present paper is to establish some new integral inequalities on time scales involving several functions and their derivatives which in the special cases yield the well known Maroni inequality and some of its generalizations.

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