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Asymptotically Stable Solutions for a Nonlinear Functional Integral Equation

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Abstract

In this paper, the solvability and the existence of asymptotically stable solutions for a nonlinear functional integral equation are studied. The main tools are a fixed point theorem of Krasnosel’skii type, the dominated convergence theorem, and other results from functional analysis. In order to illustrate the result obtained here, an example is given.

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Acknowledgements

The authors wish to express their sincere thanks to the referees for the suggestions and valuable comments. The authors are also extremely grateful for the support given by Vietnam National University HoChiMinh City (VNU-HCM) under Grant no. B2013-18-05.

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Authors and Affiliations

  1. Nha Trang Educational College, 01 Nguyen Chanh Street, Nha Trang, Vietnam

    L. T. P. Ngoc

  2. Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Street, District 5, Ho Chi Minh, Vietnam

    N. T. Long

Authors
  1. L. T. P. Ngoc
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  2. N. T. Long
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Correspondence to N. T. Long.

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P. Ngoc, L.T., Long, N.T. Asymptotically Stable Solutions for a Nonlinear Functional Integral Equation. Acta Math Vietnam 41, 1–24 (2016). https://doi.org/10.1007/s40306-015-0122-3

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  • DOI: https://doi.org/10.1007/s40306-015-0122-3

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