Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations

Joint Authors

Wu, Ying
Han, Guodong

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-19

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

Several new existence theorems on positive, negative, and sign-changing solutions for the following fourth-order beam equation are obtained: u(4)=f(t,u(t)), t∈[0,1]; u(0)=u(1)=u′′(0)=u′′(1)=0, where f∈C([0,1]×ℝ1,ℝ1).

In particular, an infinitely many sign changing solution theorem is established.

The method of the invariant set of decreasing flow is employed to discuss this problem.

American Psychological Association (APA)

Wu, Ying& Han, Guodong. 2013. Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-486945

Modern Language Association (MLA)

Wu, Ying& Han, Guodong. Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-486945

American Medical Association (AMA)

Wu, Ying& Han, Guodong. Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-486945

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486945