The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space |
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| Authors: | Le Thi Phuong Ngoc Nguyen Thanh Long |
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| Institution: | aNhatrang Educational College, 01 Nguyen Chanh Str., Nhatrang City, Viet Nam;bDepartment of Mathematics and Computer Science, University of Natural Science, Vietnam National University HoChiMinh City, 227 Nguyen Van Cu Str., Dist.5, HoChiMinh City, Viet Nam |
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| Abstract: | Motivated by the recent known results about the solvability and existence of asymptotically stable solutions for nonlinear functional integral equations in spaces of functions defined on unbounded intervals with values in the n-dimensional real space, we establish asymptotically stable solutions for a nonlinear functional integral equation in the space of all continuous functions on R+ with values in a general Banach space, via a fixed point theorem of Krasnosel’skii type. In order to illustrate the result obtained here, an example is given. |
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| Keywords: | MSC: 47H10 45G10 47N20 65J15 |
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