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Transactions of the American Mathematical Society
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Transactions of the American Mathematical Society
Article . 1978 . Peer-reviewed
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Transactions of the American Mathematical Society
Article . 1978 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity

Difference equations: disconjugacy, principal solutions, Green's functions, complete monotonicity
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1978Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 246, page 1 (issn: 0002-9947, Copyright policy )
Authors: Hartman, Philip;

doi: 10.2307/1997963 , 10.1090/s0002-9947-1978-0515528-6

Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity

Abstract

We find analogues of known results onnth order linear differential equations fornth order linear difference equations. These include the concept of disconjugacy, Pólya’s criterion for disconjugacy, Frobenius factorizations, generalized Sturm theorems, existence and properties of principal solutions, signs of Green’s functions, and completely monotone families of solutions of equations depending on a parameter.

Keywords

Frobenius Factorizations, Principal Solutions, Sturm Comparison Theorems, Linear Difference Equation, Families Of Solutions, Disconjugacy, Analogue Theorems, Linear Differential Equations, Positive Solution, Discrete version of topics in analysis, Green Function, Additive difference equations, Bessel Functions

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    		 27
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Average
Top 10%
Average
bronze