Interdisciplinary Applications of Applied Mathematics

Mevlüde Yakıt Ongun; Mehmet Kocabıyık; Halil İbrahim Dönmez; Mehmet Onur Olgun; Sırma Zeynep Alparslan Gök; Çağnur Çörekli; Hatice Bulut Demiralay; Mehmet Uc; Fatih Rıza Çelik; Mevlüde Yakıt Ongun; Ceren Uysal; Fatma İşcan

doi:10.58830/ozgur.pub1361

Extensions of Singular Fourth Order Dynamic Operators with Transmission Conditions
Chapter from the book: Yakıt Ongun, M. (ed.) 2026. Interdisciplinary Applications of Applied Mathematics.

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Hatice Bulut Demiralay

Burdur Mehmet Akif Ersoy University

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Synopsis

In the present paper, a singular fourth-order dynamic operator on time scales is investigated in the presence of impulsive conditions. Initially, a suitable boundary value framework adapted to the impulsive structure of the operator is constructed. Subsequently, the maximal dissipative, self-adjoint, and further appropriate extensions of the associated singular fourth-order differential operator, which acts on unbounded time scales under impulsive effects, are comprehensively characterized.

Keywords:

Numerical analysis differential equations algebra game theory mathematical modeling

How to cite this book

Bulut Demiralay, H. (2026). Extensions of Singular Fourth Order Dynamic Operators with Transmission Conditions. In: Yakıt Ongun, M. (ed.), Interdisciplinary Applications of Applied Mathematics. Özgür Publications. DOI: https://doi.org/10.58830/ozgur.pub1361.c5494

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Published

June 30, 2026

DOI

https://doi.org/10.58830/ozgur.pub1361.c5494

Extensions of Singular Fourth Order Dynamic Operators with Transmission Conditions Chapter from the book: Yakıt Ongun, M. (ed.) 2026. Interdisciplinary Applications of Applied Mathematics.