ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

Authors

  • M. A. Darwish Department of Mathematics, Faculty of Sciences, Damanhour University, Egypt Author
  • M. M. A. Metwali Department of Mathematics, Faculty of Sciences, Damanhour University, Egypt Author
  • D. O'Regan School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland Author

DOI:

https://doi.org/10.57016/MV-nuyr4938

Keywords:

Quadratic Hammerstein integral equation, Hölder condition, Schauder fixed point theorem

Subjects:

45G10, 45M99, 47H09

Abstract

Using Schauder's fixed point theorem we consider the solvability of a quadratic Hammerstein integral equation in the space of functions satisfying a Hölder condition. An example is included to illustrate our results.

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Published

2022-10-15

Issue

Vol. 74 No. 4 (2022): Vol. 74, Issue 4

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.