Integral inequalities similar to gronwall inequality

Electronic Journal of Differential Equations

Volumn 2007, Issue , 2007, Pages 1-14

  Denche, Mohamed ^a   Khellaf, Hassane ^a  

^a Universite Mentouri Constantine   (Algeria)

Author keywords

Integral inequality; Nonlinear partial differential equation; Subadditive and submultiplicative function

Indexed keywords

EID: 37449006755     PISSN: None     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. D. Bainov and P. Simeonov; Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, (1992).
2. T. H. Gronwall; Note on the derivatives with respect to a parameter of solutions of a system of differential equations, Ann. of Math. ,0 (1919) 4, pp. 292-296.
3. I. Gyori; A Generalization of Bellman's Inequality for Stieltjes Integrals and a Uniqueness Theorem, Studia Sci. Math. Hungar, 6 (1971), pp. 137-145.
4. H. Khellaf; On integral inequalities for functions of several independent variables, Electron. J. Diff. Eqns. , Vol. 2003 (2003), No.123, pp. 1-12.
5. J. A. Oguntuase; On an inequality of Gronwall, J. Ineq. Pure and Appl. Math., 2(1) (2001), No. 9.
6. B. G. Pachpatte; Bounds on Certain Integral Inequalities, J. Ineq. Pure and Appl. Math., 3(3) (2002), Article No. 47.
7. C. C. Yeh and M-H. Shim; The Gronwall-Bellman Inequality in Several Variables, J. Math. Anal. Appl., 86 (1982), No. 1, pp. 157-167.