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- Title
NONLOCAL STURM-LIOUVILLE PROBLEMS WITH INTEGRAL TERMS IN THE BOUNDARY CONDITIONS.
- Authors
KANDEMIR, MUSTAFA; MUKHTAROV, OKTAY SH.
- Abstract
We consider a new type Sturm-Liouville problems whose main feature is the nature of boundary conditions. Namely, we study the nonhomo- geneous Sturm-Liouville equation p(x)u" (x) + (q(x) - λ) u = f (x) on two disjoint intervals [-1,0) and (0,1], subject to the nonlocal boundary-transmission conditions ... where Ω1 := [-1, 0), Ω2 := (0, 1] and xkj ∈ (-1, 0) ? (0, 1) 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 λ.
- Subjects
STURM-Liouville equation; BOUNDARY value problems; ISOMORPHISM (Mathematics); FREDHOLM equations; SPECTRAL geometry
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 1-54, p1
- ISSN
1550-6150
- Publication type
Article