Research Article

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

Volume: 6 Number: 2 July 30, 2025
EN

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

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.

Keywords

Ethical Statement

The author declares that the materials and methods used in her study do not require ethical committee and/or legal special permission.

References

  1. Abbas M., Zada A., Kallekhkim A., Switched impulsive integro-delay dynamic system and its controllability, Journal of Control and Decision, Published Online: 10 July 2025.
  2. Akgöl S.D., Georgiev S.G., Kuş M.E., Existence of solutions for first order impulsive periodic boundary value problems on time scales, Filomat, 37(10), 3029-3042, 2023.
  3. Almenar P., Jodar L., The principal eigenvalue of some nth order linear boundary value problems, Boundary Value Problems, 84, 16, 2021.
  4. Bainov D.D., Simeonov P.S., Impulsive Differential Equations: Periodic Solutions and Applications of Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific Technical, 66, 1993.
  5. Bainov D.D., Simeonov P.S., Systems with Impulse Effect, Stability Theory and Applications, Ellis Horwood, 1989.
  6. Bi Z., Liu S., Positive solutions for third-order boundary value problems with indefinite weight, Mediterranean Journal of Mathematics, 20, 306, 2023.
  7. Bouabdallah M., Chakrone O., Chehabi M., Eigenvalue problem of an impulsive differential equation governed by the one-dimensional p-Lap operator, Proyecciones Journal of Mathematics, 41(1), 217-247, 2022.
  8. Canfield J., Galler A., Freericks J.K., The Laplace method for energy eigenvalue problems in quantum mechanics, Quantum Reports, 5(2), 370-397, 2023.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Publication Date

July 30, 2025

Submission Date

January 6, 2025

Acceptance Date

July 27, 2025

Published in Issue

Year 2025 Volume: 6 Number: 2

APA
Öz, D. (2025). Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator. Fundamentals of Contemporary Mathematical Sciences, 6(2), 165-181. https://doi.org/10.54974/fcmathsci.1614200
AMA
1.Öz D. Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator. FCMS. 2025;6(2):165-181. doi:10.54974/fcmathsci.1614200
Chicago
Öz, Döndü. 2025. “Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -Order Impulsive Boundary Value Problem’s Iterative System With P-Laplacian Operator”. Fundamentals of Contemporary Mathematical Sciences 6 (2): 165-81. https://doi.org/10.54974/fcmathsci.1614200.
EndNote
Öz D (July 1, 2025) Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator. Fundamentals of Contemporary Mathematical Sciences 6 2 165–181.
IEEE
[1]D. Öz, “Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator”, FCMS, vol. 6, no. 2, pp. 165–181, July 2025, doi: 10.54974/fcmathsci.1614200.
ISNAD
Öz, Döndü. “Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -Order Impulsive Boundary Value Problem’s Iterative System With P-Laplacian Operator”. Fundamentals of Contemporary Mathematical Sciences 6/2 (July 1, 2025): 165-181. https://doi.org/10.54974/fcmathsci.1614200.
JAMA
1.Öz D. Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator. FCMS. 2025;6:165–181.
MLA
Öz, Döndü. “Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -Order Impulsive Boundary Value Problem’s Iterative System With P-Laplacian Operator”. Fundamentals of Contemporary Mathematical Sciences, vol. 6, no. 2, July 2025, pp. 165-81, doi:10.54974/fcmathsci.1614200.
Vancouver
1.Döndü Öz. Some Results on Eigenvalue Intervals for Positive Solutions of the 3rd -order Impulsive Boundary Value Problem’s Iterative System with p-Laplacian Operator. FCMS. 2025 Jul. 1;6(2):165-81. doi:10.54974/fcmathsci.1614200

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.