ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

Mohamed Abdalla Darwish; Mohamed M.A. Metwali; Donal O’regan

doi:10.57016/MV-nuyr4938

ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

Mohamed Abdalla Darwish, Mohamed M.A. Metwali, Donal O’regan

Mathematics

Faculty of Science

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	242-248
Number of pages	7
Journal	Matematicki Vesnik
Volume	74
Issue number	4
DOIs	https://doi.org/10.57016/MV-nuyr4938
Publication status	Published - 2022

Keywords

Hölder condition
Quadratic Hammerstein integral equation
Schauder fixed point theorem

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@article{968467590ed14875adaeeac5b37a5e9e,

title = "ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN H{\"O}LDER SPACES",

abstract = "Using Schauder{\textquoteright}s fixed point theorem we consider the solvability of a quadratiHammerstein integral equation in the space of functions satisfying a H{\"o}lder condition. An example is included to illustrate our results.",

keywords = "H{\"o}lder condition, Quadratic Hammerstein integral equation, Schauder fixed point theorem",

author = "Darwish, \{Mohamed Abdalla\} and Metwali, \{Mohamed M.A.\} and Donal O{\textquoteright}regan",

year = "2022",

doi = "10.57016/MV-nuyr4938",

language = "English",

volume = "74",

pages = "242--248",

journal = "Matematicki Vesnik",

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T1 - ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

AU - Darwish, Mohamed Abdalla

AU - Metwali, Mohamed M.A.

AU - O’regan, Donal

PY - 2022

Y1 - 2022

N2 - Using Schauder’s fixed point theorem we consider the solvability of a quadratiHammerstein integral equation in the space of functions satisfying a Hölder condition. An example is included to illustrate our results.

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

KW - Hölder condition

KW - Quadratic Hammerstein integral equation

KW - Schauder fixed point theorem

UR - https://www.scopus.com/pages/publications/85139931198

U2 - 10.57016/MV-nuyr4938

DO - 10.57016/MV-nuyr4938

M3 - Article

AN - SCOPUS:85139931198

SN - 0025-5165

VL - 74

SP - 242

EP - 248

JO - Matematicki Vesnik

JF - Matematicki Vesnik

IS - 4

ER -

ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

Abstract

Keywords

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