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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A nonlinear generalization of Bihari's inequality


Authors: U. D. Dhongade and S. G. Deo
Journal: Proc. Amer. Math. Soc. 54 (1976), 211-216
MSC: Primary 45D05
MathSciNet review: 0430694
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Abstract: The aim of the present note is to prove a nonlinear generalization of the well-known integral inequality due to Bihari. This generalization is useful in obtaining pointwise estimates of solutions of nonlinear Volterra integral equations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0430694-2
PII: S 0002-9939(1976)0430694-2
Keywords: Bihari's inequality, Volterra integral equations, Gronwall inequality
Article copyright: © Copyright 1976 American Mathematical Society