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- Title
Principal Functions of Boundary-Value Problem with Quadratic Spectral Parameter in Boundary Conditions.
- Authors
YOKUS, nNihal; KOPRUBASI, Turhan
- Abstract
In this paper, we determine the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) -y"+q(x)y=λ2y, x∊R+ = [0,∞] (α0+ α1λ+2αλ2y'(0) - (β0 + β1λ+ β2λ2y(0)=0 where q is a complex-valued function,αi,βi ∊C, i=0,1,2 and λ is a eigenparameter, and introduce the convergence properties of principal functions.
- Subjects
BOUNDARY value problems; EIGENVALUES; MATHEMATICAL singularities; STOCHASTIC convergence; DIFFERENTIAL operators; NONSELFADJOINT operators
- Publication
Gazi University Journal of Science, 2017, Vol 30, Issue 1, p371
- ISSN
1303-9709
- Publication type
Article