Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator

The objective of this paper is to determine the eigenvalue intervals for which positive solutions are guaranteed for the iterative system of the 3rd -order impulsive boundary value problem. The existence of solutions is established by applying the well-known Guo-Krasnosel’skii fixed point theorem. An illustrative example is provided to demonstrate the applicability of the theoretical results.

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Journal
Fundamentals of Contemporary Mathematical Sciences
Published
2025-07-30
DOI
https://doi.org/10.54974/fcmathsci.1614200
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator

Döndü Öz
Fundamentals of Contemporary Mathematical Sciences
Nonlinear Differential Equations Analysis
article

Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator

Döndü Öz
article en

Abstract

The objective of this paper is to determine the eigenvalue intervals for which positive solutions are guaranteed for the iterative system of the 3rd -order impulsive boundary value problem. The existence of solutions is established by applying the well-known Guo-Krasnosel’skii fixed point theorem. An illustrative example is provided to demonstrate the applicability of the theoretical results.

Fundamentals of Contemporary Mathematical SciencesVol. 6(2)
Ege University (TR)
Openalex Percentile: Top 72%
Nonlinear Differential Equations Analysis
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