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Global asymptotic stability of solutions of a functional integral equation |
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| Authors: | Jzef Bana Bapurao C Dhage |
| Institution: | aDepartment of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland;bKasabai, Gurucul Colony, Ahmedpur - 413515, Distr. Latur, Maharashtra, India |
| Abstract: | Using the technique of measures of noncompactness we prove a theorem on the existence and global asymptotic stability of solutions of a functional integral equation. The investigations are placed in the Banach space of real functions defined, continuous and bounded on an unbounded interval. A few realizations of the result obtained are indicated. |
| Keywords: | Functional integral equation Measure of noncompactness Fixed point theorem Attractive solutions Asymptotically stable solutions |
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