Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1117.34021
Liu, Bingmei; Liu, Lishan; Wu, Yonghong
Positive solutions for singular second order three-point boundary value problems. (English)
[J] Nonlinear Anal., Theory Methods Appl. 66, No. 12, A, 2756-2766 (2007). ISSN 0362-546X

Summary: The singular three-point boundary value problem $$\cases u''(t)+h (t)f(t,u)=0,\quad 0<t<1,\\ u(0)=0,\quad u(1)=\alpha u(\eta), \endcases$$ where $\eta\in(0,1)$, $0<\alpha<1/\eta$, is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator, $h(t)$ is allowed to be singular at $t=0,1$ and $f$ may be singular at $u=0$. The existence of a positive solution is obtained by a fixed-index point.

MSC 2000:: *34B16 Singular nonlinear boundary value problems
34B10 Multipoint boundary value problems
34B18 Positive solutions of nonlinear boundary value problems

Keywords: three point; singular; positive solution; theory of fixed point index

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]