Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1231.34076
Li, Yongxiang; Fan, Hongxia
Existence of positive periodic solutions for higher-order ordinary differential equations. (English)
[J] Comput. Math. Appl. 62, No. 4, 1715-1722 (2011). ISSN 0898-1221

Summary: We consider the existence of positive periodic solutions for the $n$th-order ordinary differential equation $$u^{n}(t)=f(t,u(t),u'(t)\dots,u^{n-1}(t)),$$ where $n\ge 2$, $f\bbfR\times [0,\infty)\times\bbfR^{n-1}\to\bbfR$ is a continuous function and is $2\pi $-periodic in $t$. Some existence results of positive $2\pi $-periodic solutions are obtained assuming $f$ satisfies some superlinear or sublinear growth conditions on $x_0\dots,x_{n-1}$. The discussion is based on the fixed point index theory in cones.

MSC 2000:: *34C25 Periodic solutions of ODE
34B15 Nonlinear boundary value problems of ODE

Keywords: $n$th-order differential equation; positive periodic solution; cone; fixed point theorem in cones

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]