A modified quasi-boundary value method for ill-posed problems

In this paper, we study a final value problem for first order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed. Perturbing the final condition we obtain an approximate nonlocal problem depending on a small parameter. We show that the...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 301; no. 2; pp. 419 - 426
Main Authors:	Denche, M., Bessila, K.
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 15.01.2005 Elsevier
Subjects:	Exact sciences and technology Final value problem Ill-posed problem Mathematical analysis Mathematics Ordinary differential equations Quasi-boundary value problem Quasireversibility methods Sciences and techniques of general use Ill-posed problem Quasireversibility methods Quasi-boundary value problem Final value problem First order equation Boundary value problem Quasireversibility method Mathematical analysis Differential equation Convergence rate Well posed problem Ill posed problem Approximate solution Self adjoint operator
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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