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MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 183-190 (2001)
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# On the Volterra integral equation and axiomatic measures of weak noncompactness

## Dariusz Bugajewski

* Dariusz Bugajewski*, Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland, e-mail: ` ddbb@ main.amu.edu.pl`

**Abstract:**
We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.

**Keywords:** measure of weak noncompactness, Volterra integral equation

**Classification (MSC2000):** 45D05, 47H09

**Full text of the article:**

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