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

Volume 3, Issue 4, August 2014

First-Order Reactant of Homogeneous Dusty Fluid Turbulence Prior to the Final Period of Decay in a Rotating System for the Case of Multi-Point and Multi-Time at Four-Point Correlation

M. Abu Bkar Pk, M. Monuar Hossain, M. Abul Kalam Azad

Issue: Volume 3, Issue 4, August 2014

Pages: 78-86

Received: 20 July 2014

Accepted: 3 August 2014

Published: 10 August 2014

DOI: 10.11648/j.pamj.20140304.11

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Abstract: In this paper following Deissler’s approach and taking Fourier transform, the decay for the concentration of a dilute contaminant undergoing a first-order chemical reaction in dusty fluid homogeneous turbulence at times prior to the ultimate phase in a rotating system for the case of multi-point and multi-time at four point correlation is studied.... Show More

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On the Construction of Regions of Stability

Luciano Miguel Lugo, Juan Eduardo Nápoles Valdés, Samuel Iván Noya

Issue: Volume 3, Issue 4, August 2014

Pages: 87-91

Received: 31 July 2014

Accepted: 20 August 2014

Published: 30 August 2014

DOI: 10.11648/j.pamj.20140304.12

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Abstract: In this paper we built a stability region around the origin for the Liénard equation (4) to ensure stability and boundedness of solutions of this equation, without making use of the classical Second Method of Lyapunov. We compare our result with some others proposed by different authors.

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Stability of a Jensen's Functional Equation in Banach Spaces

Seyed Habib Shakoory

Issue: Volume 3, Issue 4, August 2014

Pages: 92-94

Received: 15 July 2014

Accepted: 19 August 2014

Published: 20 September 2014

DOI: 10.11648/j.pamj.20140304.13

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Abstract: Our aim in this note is to study the Hyers -Ulam stability and we investigate the Hyers-Ulam stability of generalized Jensen's Functional Equation in Banach Spaces: f ((x + y)/2) = (f(x) + f(y))/2

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