Mustafa Kandemir, Oktay Sh. Mukhtarov
Abstract:
We consider a new type Sturm-Liouville problems whose main
feature is the nature of boundary conditions.
Namely, we study the nonhomogeneous Sturm-Liouville equation
on two disjoint intervals [-1,0) and (0,1], subject to the
nonlocal boundary-transmission conditions
where
,
and
are internal points. By using our own
approaches we establish such important properties as Fredholmness,
coercive solvability and isomorphism with respect to the spectral
parameter
.
Submitted October 11, 2016. Published January 12, 2017.
Math Subject Classifications: 34A36, 34B08, 34B24.
Key Words: Sturm-Liouville problem; nonlocal boundary conditions;
coercive; solvability; Fredholmness.
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Mustafa Kandemir Department of Mathematics Education Faculty, Amasya University Amasya, Turkey email: mkandemir5@yahoo.com | |
Oktay Sh. Mukhtarov Department of Mathematics Faculty of Science and Arts Gaziosmanpasa University 60100 Tokat, Turkey email: omukhtarov@yahoo.com |
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