Matches in SemOpenAlex for { <https://semopenalex.org/work/W2067617174> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2067617174 endingPage "487" @default.
- W2067617174 startingPage "475" @default.
- W2067617174 abstract "The iterative method of successive approximations, originally introduced by Émile Picard in 1890, is a basic tool for proving the existence of solutions of initial value problems regarding ordinary first order differential equations. In the present paper, it is shown that this method can be modified to get estimates for the growth of solutions of linear differential equations of the type f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 1 ( z ) f ′ + A 0 ( z ) f = 0 with analytic coefficients. A short comparison to the growth results in the literature, obtained by means of different methods, is also given. It turns out that many known results can be proved by applying Picardʼs successive approximations in an effective way. Self-contained considerations are carried out in the complex plane and in the unit disc, and some remarks about solutions of real linear differential equations are made." @default.
- W2067617174 created "2016-06-24" @default.
- W2067617174 creator A5064797420 @default.
- W2067617174 date "2011-07-01" @default.
- W2067617174 modified "2023-09-26" @default.
- W2067617174 title "New applications of Picardʼs successive approximations" @default.
- W2067617174 cites W1510451047 @default.
- W2067617174 cites W1530798444 @default.
- W2067617174 cites W1915823716 @default.
- W2067617174 cites W1916098519 @default.
- W2067617174 cites W1999885828 @default.
- W2067617174 cites W2004759174 @default.
- W2067617174 cites W2043349179 @default.
- W2067617174 cites W2044677045 @default.
- W2067617174 cites W2101891195 @default.
- W2067617174 cites W2170003428 @default.
- W2067617174 cites W2435966492 @default.
- W2067617174 cites W2738153255 @default.
- W2067617174 cites W86492130 @default.
- W2067617174 doi "https://doi.org/10.1016/j.bulsci.2011.03.006" @default.
- W2067617174 hasPublicationYear "2011" @default.
- W2067617174 type Work @default.
- W2067617174 sameAs 2067617174 @default.
- W2067617174 citedByCount "5" @default.
- W2067617174 countsByYear W20676171742016 @default.
- W2067617174 countsByYear W20676171742018 @default.
- W2067617174 countsByYear W20676171742019 @default.
- W2067617174 countsByYear W20676171742020 @default.
- W2067617174 crossrefType "journal-article" @default.
- W2067617174 hasAuthorship W2067617174A5064797420 @default.
- W2067617174 hasBestOaLocation W20676171741 @default.
- W2067617174 hasConcept C134306372 @default.
- W2067617174 hasConcept C199343813 @default.
- W2067617174 hasConcept C2777686260 @default.
- W2067617174 hasConcept C28826006 @default.
- W2067617174 hasConcept C33923547 @default.
- W2067617174 hasConcept C71924100 @default.
- W2067617174 hasConceptScore W2067617174C134306372 @default.
- W2067617174 hasConceptScore W2067617174C199343813 @default.
- W2067617174 hasConceptScore W2067617174C2777686260 @default.
- W2067617174 hasConceptScore W2067617174C28826006 @default.
- W2067617174 hasConceptScore W2067617174C33923547 @default.
- W2067617174 hasConceptScore W2067617174C71924100 @default.
- W2067617174 hasIssue "5" @default.
- W2067617174 hasLocation W20676171741 @default.
- W2067617174 hasOpenAccess W2067617174 @default.
- W2067617174 hasPrimaryLocation W20676171741 @default.
- W2067617174 hasRelatedWork W2050770628 @default.
- W2067617174 hasRelatedWork W2063488590 @default.
- W2067617174 hasRelatedWork W2141704600 @default.
- W2067617174 hasRelatedWork W2347039194 @default.
- W2067617174 hasRelatedWork W2401850100 @default.
- W2067617174 hasRelatedWork W2910133962 @default.
- W2067617174 hasRelatedWork W3043663456 @default.
- W2067617174 hasRelatedWork W3117324600 @default.
- W2067617174 hasRelatedWork W3157737782 @default.
- W2067617174 hasRelatedWork W4230623537 @default.
- W2067617174 hasVolume "135" @default.
- W2067617174 isParatext "false" @default.
- W2067617174 isRetracted "false" @default.
- W2067617174 magId "2067617174" @default.
- W2067617174 workType "article" @default.