activity
19992016
most citedGlobal convergence for ill-posed equations with monotone operators: the dynamical systems method

23 citations · 31 across the 11 of their papers we have counts for

collaborators

11 papers

math.FA2016

Global existence and estimates of the solutions to nonlinear integral equations

A. G. Ramm

It is proved that nonlinear integral equations of certain class have global solution and estimates of the solution are given as .

math.CA2010★ 1 cited

Some nonlinear inequalities and applications

N. S. Hoang, A. G. Ramm

Sufficient conditions are given for the relation to hold, where is a continuous nonnegative function on satisfying some nonlinear inequal…

math.CA2009

A nonlinear inequality and applications

N. S. Hoang, A. G. Ramm

A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynami…

math.NA2009

The Dynamical Systems Method for solving nonlinear equations with monotone operators

N. S. Hoang, A. G. Ramm

A review of the authors's results is given. Several methods are discussed for solving nonlinear equations , where is a monotone operator in a Hilbert space, and noisy d…

math.DS2008

A nonlinear inequality

N. S. Hoang, A. G. Ramm

A quadratic inequality is formulated in the paper. An estimate on the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynami…

math.NA2007★ 3 cited

Solving ill-conditioned linear algebraic systems by the dynamical systems method (DSM)

N. S. Hoang, A. G. Ramm

An iterative scheme for the Dynamical Systems Method (DSM) is given such that one does not have to solve the Cauchy problem occuring in the application of the DSM for solving ill-c…