Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1145.34008
Han, Guodong; Xu, Zongben
Multiple solutions of some nonlinear fourth-order beam equations. (English)
[J] Nonlinear Anal., Theory Methods Appl. 68, No. 12, A, 3646-3656 (2008). ISSN 0362-546X

Summary: Several new existence theorems on three solutions and infinitely many solutions for the following fourth-order beam equation are obtained: $$u^{(4)}=f(t,u(t)),\quad t\in[0,1]; \quad u(0)=u(1)=u''(0)=u''(1)=0,$$ where $f\in C^1([0,1]\times \Bbb R^1,\Bbb R^1)$. The Morse theory is employed to discuss this problem.

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
58E05 Abstract critical point theory

Keywords: boundary value problems; critical points; critical group; Morse inequality

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]