Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem

Merve Temizer Ersoy

doi:10.33434/cams.860254

EN

Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem

Abstract

In this paper, we investigate the existence of at least one solution on the closed interval for quadratic integral equations with non-linear modification of the argument in Hölder spaces using the technique in the classical Schauder fixed point theorem.

Keywords

Hölder condition , integral equation , schauder fixed point theorem

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Merve Temizer Ersoy ^*
0000-0003-4364-9144
Türkiye

Publication Date

March 29, 2021

Submission Date

January 13, 2021

Acceptance Date

March 10, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

https://doi.org/10.33434/cams.860254

IZ

https://izlik.org/JA34LA68DM

APA

Temizer Ersoy, M. (2021). Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem. Communications in Advanced Mathematical Sciences, 4(1), 39-45. https://doi.org/10.33434/cams.860254

AMA

1.Temizer Ersoy M. Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem. Communications in Advanced Mathematical Sciences. 2021;4(1):39-45. doi:10.33434/cams.860254

Chicago

Temizer Ersoy, Merve. 2021. “Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem”. Communications in Advanced Mathematical Sciences 4 (1): 39-45. https://doi.org/10.33434/cams.860254.

EndNote

Temizer Ersoy M (March 1, 2021) Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem. Communications in Advanced Mathematical Sciences 4 1 39–45.

IEEE

[1]M. Temizer Ersoy, “Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem”, Communications in Advanced Mathematical Sciences, vol. 4, no. 1, pp. 39–45, Mar. 2021, doi: 10.33434/cams.860254.

ISNAD

Temizer Ersoy, Merve. “Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem”. Communications in Advanced Mathematical Sciences 4/1 (March 1, 2021): 39-45. https://doi.org/10.33434/cams.860254.

JAMA

1.Temizer Ersoy M. Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem. Communications in Advanced Mathematical Sciences. 2021;4:39–45.

MLA

Temizer Ersoy, Merve. “Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem”. Communications in Advanced Mathematical Sciences, vol. 4, no. 1, Mar. 2021, pp. 39-45, doi:10.33434/cams.860254.

Vancouver

1.Merve Temizer Ersoy. Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem. Communications in Advanced Mathematical Sciences. 2021 Mar. 1;4(1):39-45. doi:10.33434/cams.860254

Cited By

On the Solvability of a Class of Nonlinear Integral Equations in Hölder Spaces

Numerical Functional Analysis and Optimization

https://doi.org/10.1080/01630563.2022.2032148

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Numerical Solution of a Quadratic Integral Equation through Classical Schauder Fixed Point Theorem

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References

Details

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Publication Date

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Acceptance Date

Published in Issue

DOI

IZ

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On the Solvability of a Class of Nonlinear Integral Equations in Hölder Spaces