Document Zbl 0965.34044

Structured Search

Help

Examples

Geometry Search for the term Geometry in any field. Queries are case-independent.

Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.

"Topological group" Phrases (multi-words) should be set in "straight quotation marks".

au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.

Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.

Quasi* map* py: 1989 The resulting documents have publication year 1989.

so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.

"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.

dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.

py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).

la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Fields

any	anywhere
an	internal document identifier
au	author, editor
ai	internal author identifier
ti	title
la	language
so	source
ab	review, abstract
py	publication year
rv	reviewer
cc	MSC code
ut	keyword
dt	document type (j: journal article; b: book; a: book article)

Operators

a & b	logic and
a \| b	logic or
!ab	logic not
abc*	right wildcard
"ab c"	phrase
(ab c)	parentheses

Marić, V.; Tomić, M.

Slowly varying solutions of second-order linear differential equations. (English) Zbl 0965.34044

Publ. Inst. Math., Nouv. Sér. 58(72), 129-136 (1995).

The author investigates the asymptotic behavior for \(x\to \infty\) of slowly varying solutions \(y(x)\) (in the sense of Karamata) to the equation \[ y''-f(x)y(x)=0. \] The results are determined under less restrictive conditions than known before.

Reviewer: Julka Miljanović-Knežević (Beograd)

Cited in 2 Documents

MSC:

34E05	Asymptotic expansions of solutions to ordinary differential equations
26A12	Rate of growth of functions, orders of infinity, slowly varying functions

Keywords:

second-order linear differential equation; asymptotic behaviour of the solution

PDF BibTeX XML Cite

Full Text: EuDML