Publication Cover
Applicable Analysis
An International Journal
Volume 44, 1992 - Issue 3-4
50
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

A unified approach to continuous and discrete gronwall-bellman inequalities

&
Pages 243-252 | Received 27 Oct 1988, Published online: 02 May 2007

References

  • Agarwal , R.P. and Thundapani , E. 1981 . On discrete generalizations of Gron-wall's inequality . Bull. Inst. Math. Acad. Sin , 9 ( 2 )
  • Conlan , J. and Wang , C.L. 1984 . Higher dimensional Gronwall-Bellman type inequalities . Appl. Anal , 18 ( 2 )
  • Chandra , J. and Davis , P.W. 1976 . Linear generalizations of Gronwall's inequality . Proc. Amer. Math. Soc , 60
  • Green , D.E. 1977 . An inequality for a class of integral systems . Proc. Am. Math. Soc , 62
  • Jones , G.S. 1964 . Fundamental inequalities for discrete and discontinuous func-tional equations . Jour. Siam , 12 ( 1 )
  • Pachpatte , B.G. 1975 . On some integral inequalities similar to Belman-Bihari inequalities . Jour. Math. Anal. Appl , 49 ( 1 )
  • Pachpatte , B.G. 1977 . A note on Gronwall type integral and integrodifferential inequalities . Tamkang Jour. Math , 8 ( 1 )
  • Pachpatte , B.G. 1980 . On some fundamental partial integral inequalities . Jour. Math. Anal. Appl , 73 ( 1 )
  • Pachpatte , B.G. 1980 . On some new integral inequalities for nonself adjoint hyperbolic partial integrodifferential equations . Jour. Math. Anal. Appl , 76 ( 1 )
  • Pachpatte , B.G. 1979 . On some new integral and integrodifferential inequali-ties in two independent variables, and their applications . Jour. Diff. Eqns , 33 ( 1 )
  • Wang , C.L. 1978 . A short proof of Greene's theorem . Proc. Am. Math. Soc , 69
  • Shinde , B.B. and Pachpatte , B.G. 1983 . On multidimensional simultaneous integral inequalities . Jour. Math. Phys. Sci , 17 ( 3 )
  • Yeh , C.C. and Shih , M.H. 1982 . The Gronwall-Bellman inequalities in several variables . Jour. Math. Anal. Appl , 86 ( 3 )
  • Yeh , C.C. 1982 . On some integral inequalities in n-independent variables and their applications . Jour. Math. Anal. App , 86 ( 3 )

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.