Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 81-95

Title: Quadratic Convergence of Approximate Solutions of Two-Point  
Boundary Value Problems with Impulse 


Authors: Vidya Doddaballapur (Univ. of Dayton, Ohio, USA)
    Paul W. Eloe (Univ. of Dayton, Ohio, USA)
    Yongzhi Zhang (Univ. of Dayton, Ohio, USA)
 
Abstract: 
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.



Published November 12, 1998.
Math Subject Classifications: 34A37, 34B15.
Key Words: Quasilinearization; boundary value problem with impulse; quadratic convergence; Nagumo conditions.