scholarly journals Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Wu-Sheng Wang
Keyword(s):  
Integral Inequalities ◽  
Iterated Integrals

scholarly journals New Integral Inequalities for Iterated Integrals with Applications

2007 ◽  
Vol 2007 (1) ◽  
pp. 024385 ◽  
Author(s):  
Ravi P Agarwal ◽  
Cheon Seoung Ryoo ◽  
Young-Ho Kim
Keyword(s):  
Integral Inequalities ◽  
Iterated Integrals

scholarly journals Growth estimates on certain integral inequalities in two variables involving iterated integrals

2005 ◽  
Vol 36 (3) ◽  
pp. 179-191
Author(s):  
B. G. Pachpatte
Keyword(s):  
Integral Equations ◽  
Integral Inequalities ◽  
Qualitative Behavior ◽  
Iterated Integrals ◽  
Independent Variables ◽  
Two Independent Variables ◽  
Double Integrals

The aim of the present paper is to establish growth estimates on some new integral inequalities in two independent variables involving iterated double integrals, which can be used to study the qualitative behavior of solutions of certain partial integrodifferential and integral equations. Applications are also given to illustrate the usefulness of one of our results.

scholarly journals ON SOME INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS

2006 ◽  
Vol 43 (3) ◽  
pp. 563-578 ◽  
Author(s):  
Yeol-Je Cho ◽  
Sever-S. Dragomir ◽  
Young-Ho Kim
Keyword(s):  
Integral Inequalities ◽  
Iterated Integrals

On generalizations of certain nonlinear integral inequalities and their applications

2018 ◽  
Vol 11 (03) ◽  
pp. 1850032
Author(s):  
S. G. Latpate
Keyword(s):  
Differential Equation ◽  
New York ◽  
Integral Equations ◽  
Integral Inequalities ◽  
Academic Press ◽  
Iterated Integrals ◽  
Retarded Differential Equation ◽  
Differential And Integral Equations

The aim of this paper is to generalize some integral inequalities of Gronwall–Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett. 23 (2015) 470–475] and also establish some new forms.

scholarly journals On certain nonlinear integral inequalities involving iterated integrals

2006 ◽  
Vol 37 (3) ◽  
pp. 261-271 ◽  
Author(s):  
B. G. Pachpatte
Keyword(s):  
Integral Inequalities ◽  
Iterated Integrals ◽  
Explicit Bounds

In this paper explicit bounds on some nonlinear integral inequalities involving iterated integrals are established. Applications are also given to illustriate the usefulness of one of our results.

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