Second order, multi-point problems with variable coefficients

In this paper, we consider the eigenvalue problem consisting of the equation − u ″ = λ r u , on  ( − 1 , 1 ) , where r ∈ C 1 [ − 1 , 1 ] , r > 0 and λ ∈ R , together with the multi-point boundary conditions u ( ± 1 ) = ∑ i = 1 m ± α i ± u ( η i ± ) , where m ± ⩾ 1 are integers, and, for i = 1 , …...

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Veröffentlicht in:	Nonlinear analysis 2011-12, Vol.74 (18), p.7269-7284
Hauptverfasser:	Genoud, François, Rynne, Bryan P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Eigenvalues Exact sciences and technology Mathematical analysis Mathematics Multi-point boundary conditions Nonlinearity Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Second order Spectra Spectral lines
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