Higher-order self-adjoint boundary-value problems on time scales

In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint boundary conditions are discussed. The symmetry property of the corresponding Green's functions is shown, together with specific formulas of Green's functions for select time...

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Veröffentlicht in:	Journal of computational and applied mathematics 2006-10, Vol.194 (2), p.309-342
Hauptverfasser:	Anderson, Douglas R., Guseinov, Gusein Sh, Hoffacker, Joan
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Finite differences and functional equations Mathematical analysis Mathematics Ordinary differential equations Sciences and techniques of general use Self-adjoint boundary-value problem Symmetric Green's function Time scales
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Beschreibung
Zusammenfassung:	In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint boundary conditions are discussed. The symmetry property of the corresponding Green's functions is shown, together with specific formulas of Green's functions for select time scales.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2005.07.020