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| A Generalization of Bihari's Inequality and Its Applications to NonlinearVolterra Integral Equations |
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Citation： |
Yang Enhao.A Generalization of Bihari's Inequality and Its Applications to NonlinearVolterra Integral Equations[J].Chinese Annals of Mathematics B,1982,3(2):209~216 |
| Page view： 838
Net amount： 1127 |
Authors： |
Yang Enhao; |
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| Abstract： |
In a recent paper of Dhongade, U. D. and Deo, S. G.^[2], the well-known improtant integral inequality due to Bihari^[1] was generalized to the case of haying finite terms of nonlinear integral functionals. Certainly, the generalizations of this type are very useful in treating many problems. Unfortunately the theorems given in [2] are not quite correct.
The purpose of the present paper is first to prove the validity of another generalization of Bihari’s inequality, which corrects and extends all of the results in [2], and then as a further application of the obtained inequality, we consider here the perturbations of nonlinear Yolterra integral equations by combining with the nonlinear variation of constants formula established by Brauer, F.^[5] for the Yolterra equations. |
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