Open AccessNONCLASSICAL FOURTH ORDER DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH ABSTRACT LINEAR FUNCTIONALS
Author(s) -
Mustafa Kandemä°R
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i11.1091
Subject(s) - mathematics , boundary value problem , disjoint sets , order (exchange) , mathematical analysis , isomorphism (crystallography) , value (mathematics) , boundary (topology) , statistics , finance , crystal structure , chemistry , economics , crystallography
In this study, we have considered a nonstandard boundary-value problem for fourth order differential equation on two disjoint intervals The boundary conditions contains not only endpoints and but also a point interaction and abstract linear functional So our problem is nota pure differential one. We investigate such some important properties as isomorphism, Fredholmness and coerciveness with respect to the spectral parameter.