A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation

Joint Authors

Liu, Ping
Wang, Yuwen

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-28

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We consider a nonlinear equation F(ε,λ,u)=0, where the parameter ε is a perturbation parameter, F is a differentiable mapping from R×R×X to Y, and X, Y are Banach spaces.

We obtain an abstract bifurcation theorem by using the generalized saddle-node bifurcation theorem.

American Psychological Association (APA)

Liu, Ping& Wang, Yuwen. 2011. A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-461748

Modern Language Association (MLA)

Liu, Ping& Wang, Yuwen. A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-461748

American Medical Association (AMA)

Liu, Ping& Wang, Yuwen. A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-461748

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-461748