Archive:: Pure and Applied Mathematics Journal:: Science Publishing Group

Volume 6, Issue 5, October 2017

On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations

Kamoh Nathaniel Mahwash, Gyemang Dauda Gyang, Soomiyol Mrumun Comfort

Issue: Volume 6, Issue 5, October 2017

Pages: 137-143

Received: 7 September 2017

Accepted: 18 September 2017

Published: 11 October 2017

DOI: 10.11648/j.pamj.20170605.11

Downloads:

Views:

Abstract: This paper is aimed at discussing and comparing the performance of standard method with its hybrid method of the same step number for the solution of first order initial value problems of ordinary differential equations. The continuous formulation for both methods was obtained via interpolation and collocation with the application of the shifted Le... Show More

Download PDF

View Online
The Leray-Schauder Degree as Topological Method Solution of Nonlinear Elliptic Equations

Nedal Hassan Elbadowi Eljaneid

Issue: Volume 6, Issue 5, October 2017

Pages: 148-153

Received: 11 August 2017

Accepted: 9 September 2017

Published: 29 October 2017

DOI: 10.11648/j.pamj.20170605.13

Downloads:

Views:

Abstract: In the present paper using precise results on the solutions of linear elliptic differential operators with Holder continuous coefficient as well as a variant of the Lery - Schauder method and the gal of this paper to find an adequate degree theory for the infinite dimensional setting and to extend the theory of homotopy classes of maps form to to homotopy classes of maps on infinite dimensional spaces.

Download PDF

View Online