Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Sonja Currie"'
Autor:
Sonja Currie, Bruce A. Watson
Publikováno v:
Electronic Journal of Differential Equations, Vol 2005, Iss 93, Pp 1-11 (2005)
We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary
Externí odkaz:
https://doaj.org/article/0f0a9c523d994733a9297c23880bf55b
Autor:
Anne D. Love, Sonja Currie
Publikováno v:
Boundary Value Problems, Vol 2011 (2011)
Externí odkaz:
https://doaj.org/article/fd95bb0fbdcc4fc5aa32b013863e3d3d
Autor:
Sonja Currie, Anne D. Love
Publikováno v:
Advances in Difference Equations, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/dd3d6daa424045368bb1e522a944aa0f
Publikováno v:
Journal of Mathematical Chemistry. 60:862-873
Publikováno v:
Complex Analysis and Operator Theory. 15
We consider a Sturm–Liouville equation $$\ell y:=-y'' + qy = \lambda y$$ on the intervals $$(-a,0)$$ and (0, b) with $$a,b>0$$ and $$q \in L^2(-\,a,b)$$ . Boundary conditions $$y(-\,a)\cos \alpha = y'(-\,a)\sin \alpha $$ , $$y(b)\cos \beta =y'(b)\s
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:5985-5988
Publikováno v:
Operators and Matrices. :489-499
Autor:
Anne D. Love, Sonja Currie
Publikováno v:
Quaestiones Mathematicae; Vol 49, No 7 (2017); 861-877
This paper inductively investigates an inverse problem for difference boundary value problems with boundary conditions that depend quadratically on the eigenparameter. In particular, given the eigenvalues and the weights, we provide an algorithm to u
Autor:
Anne D. Love, Sonja Currie
Publikováno v:
Commentationes Mathematicae. 58
Assume the eigenvalues and the weights are given for a difference boundary value problem and that the form of the boundary conditions at the endpoints is known. In particular, it is known whether the endpoints are fixed (i.e. Dirichlet or non-Dirichl
Autor:
Anne D. Love, Sonja Currie
Publikováno v:
Advances in Pure Mathematics. :625-632
The following inverse problem is solved—given the eigenvalues and the potential b(n) for a difference boundary value problem with quadratic dependence on the eigenparameter, λ, the weights c(n) can be uniquely reconstructed. The investi-gation is