On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0,a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompac...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/698234 |
| Summary: | We present a theorem which gives sufficient conditions for existence of at least one solution for
some nonlinear functional integral equations in the space of continuous functions on the interval [0,a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness. We give also an example satisfying the conditions of our main theorem but not satisfying the conditions described by Maleknejad et al. (2009). |
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| ISSN: | 1085-3375 1687-0409 |