Title: Density, spectral theory and homoclinics for singular sturm-liouville systems
Authors: Decoster, Christiaan ×
Willem, M #
Issue Date: 1994
Publisher: Elsevier science bv
Series Title: Journal of computational and applied mathematics vol:52 issue:1-3 pages:45-70
Abstract: We consider the singular system -(P(t)u')' + Q(t)u = lambda R(t)u. We give boundary conditions corresponding to the weak formulation, density results and conditions under which the set of eigenfunctions is total and orthogonal. Our results include the classical special functions. Finally, we apply these results to the problem on the real line: -(P(t>u')' + Q(t)u = V-u(t, u), t is an element of R, integral(R)[(Pu'.u') + (Qu.u)] < infinity, where V is superquadratic at infinity and subquadratic at the origin.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Academic Centre for Nursing and Midwifery
× corresponding author
# (joint) last author

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