Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1103.34017
Jaroš, Jaroslav; Takaŝi, Kusano; Tanigawa, Tomoyuki
Nonoscillatory half-linear differential equations and generalized Karamata functions. (English)
[J] Nonlinear Anal., Theory Methods Appl. 64, No. 4, A, 762-787 (2006). ISSN 0362-546X

Summary: We introduce a natural generalization of the concept of regularly varying functions in the sense of Karamata, and show that the class of generalized Karamata functions is a well-suited framework for the study of the asymptotic behavior of nonoscillatory solutions of the half-linear differential equation $$\bigl(p(t)|y'|^{\alpha-1}y'\bigr)'+q (t)|y|^{\alpha-1}y=0.$$

MSC 2000:: *34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: half-linear differential equation; nonoscillation; slowly varying function; regular variation

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]