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Existence of nondecreasing solutions of a quadratic integral equation of Volterra type

✍ Scribed by Zhu, Tao; Li, Gang


Book ID
121315125
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
290 KB
Volume
221
Category
Article
ISSN
0096-3003

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we study a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. With the help of a suitable measure of noncompactness, we show that the mentioned integral equation has monotonic solutions.

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Using the technique associated with measures of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. (~)