Alberto Cabada, Lorena Saavedra
Abstract:
This article is devoted to the study of the parameter's set where the
Green's function related to a general linear nth-order operator,
depending on a real parameter, T_n[M], coupled with many different
two point boundary value conditions, is of constant sign.
This constant sign is equivalent to the strongly inverse positive (negative)
character of the related operator on suitable spaces related to the boundary
conditions.
Submitted January 19, 2017. Published June 22, 2017.
Math Subject Classifications: 34B05, 34B08, 34B27, 34L05, 34B15, 34B18, 47A05.
Key Words: Green's functions; spectral theory; boundary value problems
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Alberto Cabada Instituto de Matemáticas Facultade de Matemáticas Universidade de Santiago de Compostela Santiago de Compostela, Galicia Spain email: alberto.cabada@usc.es |
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Lorena Saavedra Instituto de Matemáticas Facultade de Matemáticas Universidade de Santiago de Compostela Santiago de Compostela, Galicia Spain email: lorena.saavedra@usc.es |
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