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Three‐Point Boundary Value Problems in Differential Equations
Author(s) -
Greguš M.,
Neuman F.,
Arscott F. M.
Publication year - 1971
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-3.3.429
Subject(s) - eigenvalues and eigenvectors , boundary value problem , mathematics , mathematical analysis , differential equation , boundary values , point (geometry) , value (mathematics) , physics , geometry , statistics , quantum mechanics
This paper establishes the existence, under quite broad conditions, of solutions of the two‐parameter eigenvalue problem formed by the differential equation y″ + [ q ( x ; λ, μ)+ r ( x )] y = 0 and the three‐point boundary conditions y(a) = y(b) = y(c) =, 0 λ and μ being the parameters whose eigenvalues aie sought.
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