Determining of Coefficients and the Classical Solvability of a Nonlocal Boundary-Value Problem for the Benney–Luke Integro-Differential Equation with Degenerate Kernel

Using the Fourier method of separation of variables, we examine the classical solvability and construct solutions of a nonlocal inverse boundary-value problem for the fourth-order Benney–Luke integro-differential equation with degenerate kernel. We prove the criterion of the unique solvability of th...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 254; no. 6; pp. 793 - 807
Main Author Yuldashev, T. K.
Format Journal Article
LanguageEnglish
Published New York Springer US 02.05.2021
Springer
Springer Nature B.V
Subjects
Boundary value problems
Differential equations
Kernels
Mathematical analysis
Mathematics
Mathematics and Statistics
integral condition
integro-differential equation
Benney–Luke equation
35A02
classical solvability
35M10
fourth-order equation
degenerate kernel
35S05
Online AccessGet full text
ISSN1072-3374
1573-8795
DOI10.1007/s10958-021-05341-2

Cover

More Information
Summary:Using the Fourier method of separation of variables, we examine the classical solvability and construct solutions of a nonlocal inverse boundary-value problem for the fourth-order Benney–Luke integro-differential equation with degenerate kernel. We prove the criterion of the unique solvability of the inverse boundary-value problem and examine the stability of solutions with respect to the recovery function.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05341-2