%0 Journal Article
%T Quadratic convergence of approximate solutions of two-Point boundary value problems with impulse
%A Vidya Doddaballapur
%A Paul W. Eloe
%A Yongzhi Zhang
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X The method of quasilinearization, coupled with the method of upper and lower solutions, is applied to a boundary value problem for an ordinary differential equation with impulse that has a unique solution. The method generates sequences of approximate solutions which converge monotonically and quadratically to the unique solution. In this work, we allow nonlinear terms with respect to velocity; in particular, Nagumo conditions are employed.
%K Quasilinearization
%K boundary value problem with impulse
%K quadratic convergence
%K Nagumo conditions.
%U http://ejde.math.txstate.edu/conf-proc/01/d1/abstr.html