NONCLASSICAL FOURTH ORDER  DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH ABSTRACT LINEAR FUNCTIONALS

Mustafa KANDEMÄ°R

doi:10.24297/jam.v12i11.1091

NONCLASSICAL FOURTH ORDER DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH ABSTRACT LINEAR FUNCTIONALS

Authors

Mustafa KANDEMÄ°R Education Faculty, Amasya University, Amasya

DOI:

https://doi.org/10.24297/jam.v12i11.1091

Keywords:

Discontinuity, functional and transmission conditions, isomorphism, Fredholm coerciveness.

Abstract

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.

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Author Biography

Mustafa KANDEMÄ°R, Education Faculty, Amasya University, Amasya

Department of Mathematics

Published

2016-12-30

How to Cite

KANDEMÄ°R, M. (2016). NONCLASSICAL FOURTH ORDER DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH ABSTRACT LINEAR FUNCTIONALS. JOURNAL OF ADVANCES IN MATHEMATICS, 12(11), 6812–6820. https://doi.org/10.24297/jam.v12i11.1091