EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS

Jagan Mohan Jonnalagadda; Sukriti Chakraverti; Vanshika Jain

EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS

Abstract

We examine the existence and uniqueness of solutions to a particular class of two-point boundary value problems involving fourth-order ordinary differential equations. These problems have fascinating applications in the modeling of deflections of beams. Applying the fixed point theorems by Banach and Rus is one of the main instruments used in this investigation. Our theoretical findings are applied to deflections of an elastic beam when subjected to a loading force with both ends hinged. We also ensure the existence and uniqueness of solutions to the model for certain classes of linear and nonlinear loading forces.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Authors

Jagan Mohan Jonnalagadda ^*
0000-0002-1310-8323
India

Sukriti Chakraverti This is me
0009-0001-2922-8434
India

Vanshika Jain This is me
0009-0008-8314-7951
India

Publication Date

March 17, 2026

Submission Date

February 3, 2025

Acceptance Date

July 30, 2025

Published in Issue

Year 2026 Volume: 16 Number: 3

IZ

https://izlik.org/JA49MG55BG

Cite

RIS / Bibtex

APA

Jonnalagadda, J. M., Chakraverti, S., & Jain, V. (2026). EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS. TWMS Journal of Applied and Engineering Mathematics, 16(3), 357-368. https://izlik.org/JA49MG55BG

AMA

1.Jonnalagadda JM, Chakraverti S, Jain V. EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS. JAEM. 2026;16(3):357-368. https://izlik.org/JA49MG55BG

Chicago

Jonnalagadda, Jagan Mohan, Sukriti Chakraverti, and Vanshika Jain. 2026. “EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16 (3): 357-68. https://izlik.org/JA49MG55BG.

EndNote

Jonnalagadda JM, Chakraverti S, Jain V (March 1, 2026) EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS. TWMS Journal of Applied and Engineering Mathematics 16 3 357–368.

IEEE

[1]J. M. Jonnalagadda, S. Chakraverti, and V. Jain, “EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS”, JAEM, vol. 16, no. 3, pp. 357–368, Mar. 2026, [Online]. Available: https://izlik.org/JA49MG55BG

ISNAD

Jonnalagadda, Jagan Mohan - Chakraverti, Sukriti - Jain, Vanshika. “EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16/3 (March 1, 2026): 357-368. https://izlik.org/JA49MG55BG.

JAMA

1.Jonnalagadda JM, Chakraverti S, Jain V. EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS. JAEM. 2026;16:357–368.

MLA

Jonnalagadda, Jagan Mohan, et al. “EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 3, Mar. 2026, pp. 357-68, https://izlik.org/JA49MG55BG.

Vancouver

1.Jagan Mohan Jonnalagadda, Sukriti Chakraverti, Vanshika Jain. EXISTENCE AND UNIQUENESS RESULTS FOR THE BENDING ELASTIC BEAM EQUATIONS. JAEM [Internet]. 2026 Mar. 1;16(3):357-68. Available from: https://izlik.org/JA49MG55BG