The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function

Article ID

966L6

The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function

Alhussein. M.A. Ahmed
Alhussein. M.A. Ahmed
Mutasim Abdalmonim Alsiddig
Mutasim Abdalmonim Alsiddig
Tarteel Abdalgader
Tarteel Abdalgader
Khalid Ahmed Abbakar
Khalid Ahmed Abbakar
Haroun M. M. Suliman
Haroun M. M. Suliman
DOI

Abstract

In this paper, we discuss the existence of a monotonic positive solution for the following fourth-order three points Non-linear BVP: which has the sign – changing Green’s function. where and . The point is that although the corresponding Green is changing the sign, by applying iterative methods, We can still obtain the existence of a monotonic positive solution under certain suitable conditions of f.

The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function

In this paper, we discuss the existence of a monotonic positive solution for the following fourth-order three points Non-linear BVP: which has the sign – changing Green’s function. where and . The point is that although the corresponding Green is changing the sign, by applying iterative methods, We can still obtain the existence of a monotonic positive solution under certain suitable conditions of f.

Alhussein. M.A. Ahmed
Alhussein. M.A. Ahmed
Mutasim Abdalmonim Alsiddig
Mutasim Abdalmonim Alsiddig
Tarteel Abdalgader
Tarteel Abdalgader
Khalid Ahmed Abbakar
Khalid Ahmed Abbakar
Haroun M. M. Suliman
Haroun M. M. Suliman

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Alhussein. M.A. Ahmed. 2026. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 25 (GJSFR Volume 25 Issue F1): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 25 Issue F1
Pg. 19- 29
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The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function

Alhussein. M.A. Ahmed
Alhussein. M.A. Ahmed
Mutasim Abdalmonim Alsiddig
Mutasim Abdalmonim Alsiddig
Tarteel Abdalgader
Tarteel Abdalgader
Khalid Ahmed Abbakar
Khalid Ahmed Abbakar
Haroun M. M. Suliman
Haroun M. M. Suliman

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