Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 2

The problem with fuzzy eigenvalue parameter in one of the boundary conditions

Pages
159–165
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We draw graphics of eigenfunctions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we study the problem with fuzzy eigenvalue parameter in oneof the boundary conditions.
📊
Key Findings & Data:We find fuzzy eigenvalues of the problem usingthe Wronskian functions ${underline W}_aleft(lambdaright)$ and ${overline W}_aleft(lambdaright)$.
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Conclusion & Impact:We draw graphics of eigenfunctions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we study the problem with fuzzy eigenvalue parameter in oneof the boundary conditions. We find fuzzy eigenvalues of the problem usingthe Wronskian functions ${underline W}_aleft(lambdaright)$ and ${overline W}_aleft(lambdaright)$. Also, we find eigenfunctionsassociated with eigenvalues. We draw graphics of eigenfunctions.

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Cite This Article

ÇİTİL, H. G. (2022). The problem with fuzzy eigenvalue parameter in one of the boundary conditions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 2, 159–165. https://ajindex.com/articles/440562

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References (13)

  1. Irkin, R., Yılmaz Ozg¨ur, N., Ta¸s, N. (2018). ¨ Optimization of lactic acid bacteria viability using fuzzy soft set modelling. An International Journal of Optimization and Control: Theories & Applications, 8(2), 266-275
  2. Karaka¸s, E., Ozpalamut¸cu, H. (2019). A ge- ¨ netic algorithm for fuzzy order acceptance and scheduling problem. An International Journal of Optimization and Control: Theories & Applications, 9(2), 186-196
  3. Fulton, C. T. (1977). Two point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proc. Soc. Edinburg, 77A, 293-308
  4. Binding, P. A., Browne, P. J., Watson, B. A. (2002). Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, II. Journal of Computational and Applied Mathematics, 148(1), 147- 168
  5. G¨ultekin C¸ itil, H., Altını¸sık, N. (2017). On the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem. Journal of Mathematical and Computational Science, 7(4), 786-805
  6. G¨ultekin C¸ itil, H., Altını¸sık, N. (2018). The examination of eigenvalues and eigenfunctions of the Sturm-Liouville fuzzy problem according to boundary conditions. International Journal of Mathematical Combinatorics, 1, 51-60
  7. G¨ultekin C¸ itil, H., Altını¸sık, N. (2018). The eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy problem with fuzzy coefficient boundary conditions. Journal of Science and Arts, 4(45), 947-958
  8. G¨ultekin C¸ itil, H. (2017). The eigenvalues and the eigenfunctions of the SturmLiouville fuzzy boundary value problem according to the generalized differentiability. Scholars Journal of Physics, Mathematics and Statistics, 4(4), 185-195
  9. Ceylan, T., Altını¸sık, N. (2018). Eigenvalue problem with fuzzy coefficients of boundary conditions. Scholars Journal of Physics, Mathematics and Statistics, 5(2), 187-193
  10. G¨ultekin C¸ itil, H. (2019). Important notes for a fuzzy boundary value problem. Applied Mathematics and Nonlinear Sciences, 4(2), 305–314
  11. Ceylan, T., Altını¸sık, N. (2018). Fuzzy eigenvalue problem with eigenvalue parameter contained in the boundary condition. Journal of Science and Arts, 3(44), 589-602
  12. G¨ultekin C¸ itil, H. (2019). Sturm-Liouville fuzzy problem with fuzzy eigenvalue parameter. International Journal of Mathematical Modelling & Computations, 9(3), 187- 195
  13. Liu, H.-K. (2011). Comparison results of twopoint fuzzy boundary value problems. International J