On Solutions of Nonlinear Functional Differential Equations

Amr Mohamed Youssef Abd-Elaty

ISBN 10: 3846535249 / ISBN 13: 9783846535240

Published by LAP LAMBERT Academic Publishing Nov 2011, 2011

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Nonlinear difference equations of order greater than one are of paramount importance in applications. Such equations appear naturally as a discrete analogues and as numerical solutions of differential equations and delay differential equations. They have models in various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our goal in this thesis is understanding the dynamics of nonlinear difference equations to construct the basic theory of this led. We believe that the results of this thesis are prototypes towards the development of the basic theory of the global behavior of solutions of nonlinear difference equations of order greater than one. Now we are going to give some examples for applications of difference equations. 104 pp. Englisch.

Seller Inventory # 9783846535240

Bibliographic Details

• Title: On Solutions of Nonlinear Functional Differential Equations
• Publisher: LAP LAMBERT Academic Publishing Nov 2011
• Publication Date: 2011
• Language: English
• ISBN 10: 3846535249
• ISBN 13: 9783846535240
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 173 grams

About this title

Synopsis

This monograph mainly divide into four categories, the first category has an introduction for some definitions, global asymptotic behavior, semi-cycle analysis, periodicity, convergence, bounded and unbounded solutions of second order nonlinear of power k difference equations and also higher order nonlinear difference equations; examples and survey for some papers which we generalize later. In the second and third part we introduce our new results which are considered as extensions and generalizations of some results on global asymptotic stability, oscillation, periodicity, semi-cycle analysis and boundedness of solutions of second order k-power non-linear difference equations. We introduce a definition of a k-power difference equation; also, in the second part we investigate the asymptotic behavior of solutions of difference equations and also in the third part we investigate the asymptotic behavior of solutions of difference equations. In the fourth part we present our new results which generalize the results of previous chapters, concerning third order rational recursive sequences to any odd order rational recursive sequences.

About the Author

Amr Mohamed Youssef Abd-Elaty,CFTe, was graduated from Faculty of Science Cairo University. He completed his M.Sc. in Pure Mathematics and his Ph.D. degree in Pure Mathematics from Ain Shams University.He is CFTe holder and currently working as an Assistant Professor of Pure Mathematics in Community College Riyadh, King Saud University.