•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-1807-40

Abstract

We construct an iteration sequence converging (in the uniform norm in the space of continuous functions) to the solution of the Cauchy problem for a~singularly perturbed weakly nonlinear differential equation of an arbitrary order (the weak nonlinearity means the presence of a~small parameter in the nonlinear term). The sequence thus constructed is also asymptotic in the sense that the departure of its $n$th element from the solution of the problem is proportional to the $(n+1)$th power of the perturbation parameter.

First Page

2841

Last Page

2853

Included in

Mathematics Commons

Share

COinS