A REGULARIZATION SCHEME FOR AN INVERSE PROBLEM IN AGE-STRUCTURED POPULATIONS Academic Article uri icon

abstract

  • This paper considers the question of the stable determination of the death rate in the fundamental equation of age structured population dynamics t + a + = 0. We assume that data consisting of population profiles at two distinct times are given. Our approach is to formulate the inverse problem as an operator equation and then, use a method of least squares for its solution. Since the problem is ill-posed, we have to consider a regularization technique. We prove that the resulting scheme has a convergence rate of Hlder type. 1994 Academic Press, Inc.

published proceedings

  • JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

  • ENGL, H. W., RUNDELL, W., & SCHERZER, O.

citation count

  • 18

complete list of authors

  • ENGL, HW||RUNDELL, W||SCHERZER, O

publication date

  • January 1994