ON A BOUNDARY VALUE PROBLEM FOR AN ODD-ORDER EQUATION WTH MULTIPLE CHARACTERISTICS

In this article the author studied one boundary value problem for a third-order nonlinear equation with multiple characteristics. The unique solvability to the problem was proven. The uniqueness of the solution to the boundary value problem was proven by the method of energy. To prove the existence of a solution to this problem, an auxiliary problem was considered. By solving an auxiliary problem, the original problem was reduced to a system of Hammerstein integral equations.The solvability of a nonlinear system is established by the method of contraction mappings.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-13
DOI
https://doi.org/10.5281/zenodo.17342183
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

ON A BOUNDARY VALUE PROBLEM FOR AN ODD-ORDER EQUATION WTH MULTIPLE CHARACTERISTICS

Zenodo (CERN European Organization for Nuclear Research)
Differential Equations and Boundary Problems
article

ON A BOUNDARY VALUE PROBLEM FOR AN ODD-ORDER EQUATION WTH MULTIPLE CHARACTERISTICS

article en

Abstract

In this article the author studied one boundary value problem for a third-order nonlinear equation with multiple characteristics. The unique solvability to the problem was proven. The uniqueness of the solution to the boundary value problem was proven by the method of energy. To prove the existence of a solution to this problem, an auxiliary problem was considered. By solving an auxiliary problem, the original problem was reduced to a system of Hammerstein integral equations.The solvability of a nonlinear system is established by the method of contraction mappings.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 36%
Differential Equations and Boundary Problems
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ON A BOUNDARY VALUE PROBLEM FOR AN ODD-ORDER EQUATION WTH MULTIPLE CHARACTERISTICS · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS