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

Authors

  • Alhussein. M.A. Ahmed

  • Mutasim Abdalmonim Alsiddig

  • Tarteel Abdalgader

  • Khalid Ahmed Abbakar

  • Haroun M. M. Suliman

difference equation, nonlinear boundary conditions, positive solution, infinite semipositone

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 .

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How to Cite

The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function. (2025). Global Journal of Science Frontier Research, 25(F1), 19-29. https://www.journalofscience.org/index.php/GJSFR/article/view/103029

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

Published

2025-09-03

How to Cite

The Iterative Technique for a Fourth-Order Three-Point Nonlinear BVP with Changing Sign Green’s Function. (2025). Global Journal of Science Frontier Research, 25(F1), 19-29. https://www.journalofscience.org/index.php/GJSFR/article/view/103029