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Existence of asymptotically stable solutions for a mixed functional nonlinear integral equation in N variables |
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| Authors: | Le Thi Phuong Ngoc Nguyen Thanh Long |
| Institution: | 1. +84 905757045;2. Nhatrang Educational College, Nhatrang City, Vietnam;3. Department of Mathematics and Computer Science, University of Natural Science, Vietnam NationalUniversity Ho Chi Minh City, Ho Chi Minh City, Vietnam |
| Abstract: | Motivated by recent known results about the solvability of nonlinear functional integral equations in one, two or N variables, this paper proves the existence of asymptotically stable solutions for a mixed functional integral equation in N variables with values in a general Banach space via a fixed point theorem of Krasnosels'ki? type. In order to illustrate the results obtained here, an example is given. |
| Keywords: | The fixed point theorem of Krasnosels'kiĭ type a mixed functional integral equation in N variables contraction mapping completely continuous asymptotically stable solution 45G10 47H10 65J15 47N20 |