Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0841.34019
Ma, Ruyun; Wang, Haiyan
On the existence of positive solutions of fourth-order ordinary differential equations. (English)
[J] Appl. Anal. 59, No.1-4, 225-231 (1995). ISSN 0003-6811; ISSN 1563-504X/e

We study the existence of positive solutions of the equations $${d^4 y\over dx^4}- h(x) f(y(x))= 0$$ with either $y(0)= y(1)= y''(0)= y''(1)= 0$ or $y(0)= y'(1)= y''(0)= y'''(1)= 0$. We show the existence of at least one positive solution if $f$ is either superlinear or sublinear by a simple application of a fixed point theorem in cones.
[Ma Ruyun (Lanzhou)]

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: fourth-order ordinary differential equation; existence of positive solutions

Cited in: Zbl 0989.34066 Zbl 0979.34012

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]