Three modes bifurcation solutions of nonlinear fourth order differential equation

Joint Authors

Shanan, Ahmad K.
Abd al-Husayn, Mazhar Abd al-Wahid

Source

Journal of Basrah Researches : Sciences

Issue

Vol. 37, Issue 4C (30 Sep. 2011), pp.291-299, 9 p.

Publisher

University of Basrah College of Education for Pure Sciences

Publication Date

2011-09-30

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

I n this paper, we are interested in the study of three modes bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations by using local method of Lyapunov -Schmidt.

We showed that the bifurcation equation corresponding to the elastic beams equation is given by nonlinear system of three quadratic equations.

Also, we determined the bifurcation diagram of the specified problem.

American Psychological Association (APA)

Shanan, Ahmad K.& Abd al-Husayn, Mazhar Abd al-Wahid. 2011. Three modes bifurcation solutions of nonlinear fourth order differential equation. Journal of Basrah Researches : Sciences،Vol. 37, no. 4C, pp.291-299.
https://search.emarefa.net/detail/BIM-286315

Modern Language Association (MLA)

Shanan, Ahmad K.& Abd al-Husayn, Mazhar Abd al-Wahid. Three modes bifurcation solutions of nonlinear fourth order differential equation. Journal of Basrah Researches : Sciences Vol. 37, no. 4C (Sep. 2011), pp.291-299.
https://search.emarefa.net/detail/BIM-286315

American Medical Association (AMA)

Shanan, Ahmad K.& Abd al-Husayn, Mazhar Abd al-Wahid. Three modes bifurcation solutions of nonlinear fourth order differential equation. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4C, pp.291-299.
https://search.emarefa.net/detail/BIM-286315

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 299

Record ID

BIM-286315