scholarly journals On Bellman-Bihari integral inequalities

1982 ◽  
Vol 5 (1) ◽  
pp. 97-103 ◽  
Author(s):  
Eutiquio C. Young
Keyword(s):  
Arbitrary Number ◽  
Integral Inequalities ◽  
Independent Variables

Integral inequalities of the Bellman-Bihari type are established for integrals involving an arbitrary number of independent variables.

scholarly journals Improved integral inequalities in n independent variables

1997 ◽  
Vol 33 (8) ◽  
pp. 27-38 ◽  
Author(s):  
R.P. Agarwal ◽  
J. Pec̆arić ◽  
I. Brnetić
Keyword(s):  
Integral Inequalities ◽  
Independent Variables

scholarly journals On Some Nonlinear Integrodifferential Inequalities for Functions of Independent Variables

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
Hassane Khellaf ◽  
Mohamed El-Hadi Smakdji
Keyword(s):  
Integrodifferential Equation ◽  
Qualitative Theory ◽  
Integral Inequalities ◽  
Independent Variables ◽  
Partial Integrodifferential Equation ◽  
New Inequalities

The object of this paper is to establish some nonlinear integrodifferential integral inequalities in independent variables. These new inequalities represent a generalization of the results obtained by Pachpatte in the case of a function with one and two variables. Our results can be used as tools in the qualitative theory of a certain class of partial integrodifferential equation.

Inequalities for Partial Derivatives and their Applications

2015 ◽  
Vol 58 (3) ◽  
pp. 486-496 ◽  
Author(s):  
Dinh Thanh Duc ◽  
Nguyen Du Vi Nhan ◽  
Nguyen Tong Xuan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Integral Inequalities ◽  
Partial Differential ◽  
Partial Derivatives ◽  
Independent Variables ◽  
Weighted Integral

AbstractWe present various weighted integral inequalities for partial derivatives acting on products and compositions of functions that are applied in order to establish some new Opial-type inequalities involving functions of several independent variables. We also demonstrate the usefulness of our results in the field of partial differential equations.

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