Monotonic solutions of Urysohn integralequation on unbounded interval |
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| Authors: | J Bana M Pas&#x;awska-Po&#x;udniak |
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| Affiliation: | Department of MathematicsRzeszów University of Technology 35-959 Rzeszów, W. Pola 2, Poland |
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| Abstract: | In this paper, we investigate a nonlinear Urysohn integral equation on unboundedinterval. We show that under some assumptions that the equation has monotonic solutions belonging to the space of functions being Lebesgue integrable on unbounded interval. The main tool used in our study is the technique associated with measures of weak noncompactness and measures of noncompactness in strong sense. |
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| Keywords: | Urysohn integral equation Measure of noncompactness Compactness in measure Weak sequential continuity |
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