Regular Third-Order Boundary Value Problems
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Abstract
In this paper, we consider some boundary value problems generated by third-order formally symmetric (self-adjoint) regular differential expression and separated, real-coupled and complex-coupled boundary conditions. It is shown that these problems generate self-adjoint operators. Moreover, the dependence of eigenvalues of these problems on the data are studied and some derivatives of the eigenvalues with respect to some elements of data are introduced. (C) 2018 Elsevier Inc. All rights reserved.
Description
Keywords
Third-Order Boundary Value Problems, Eigenvalue, Linear symmetric and selfadjoint operators (unbounded), Sturm-Liouville theory, third-order boundary value problems, Linear boundary value problems for ordinary differential equations, eigenvalue, Boundary eigenvalue problems for ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Ugurlu, Ekin, "Regular third-order boundary value problems", Applied Mathematics and Computation, Vol. 343, pp. 247-257, (2019).
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OpenCitations Citation Count
21
Volume
343
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Start Page
247
End Page
257
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Scopus : 40
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