Matches in SemOpenAlex for { <https://semopenalex.org/work/W2740934843> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2740934843 abstract "An approach for the analytical solution, free and forced, to systems of delay differential equations (DDEs) has been developed using the matrix Lambert function. To generalize the Lambert function solution for scalar DDEs to systems of DDEs, we introduce a new matrix, Q when the coefficient matrices in a system of DDEs do not commute. The solution is in the form of an infinite series of modes written in terms of the matrix Lambert function using Q. The essential advantage of this approach is the similarity with the concept of the state transition matrix in linear ordinary differential equations (ODEs), enabling its use for general classes of linear delay differential equations. Examples are presented to illustrate the new approach by comparison to numerical methods. The analytical solution to systems of DDEs in terms of the Lambert function is also presented in the Laplace domain to reinforce the analogy to ODEs." @default.
- W2740934843 created "2017-08-08" @default.
- W2740934843 creator A5042798397 @default.
- W2740934843 creator A5067097078 @default.
- W2740934843 creator A5073076120 @default.
- W2740934843 date "2006-01-01" @default.
- W2740934843 modified "2023-09-24" @default.
- W2740934843 title "Analysis of Systems of Linear Delay Differential Equations Using the Matrix Lambert Function and the Laplace Transformation" @default.
- W2740934843 cites W1986905607 @default.
- W2740934843 cites W1988098342 @default.
- W2740934843 cites W2011568767 @default.
- W2740934843 cites W2012279439 @default.
- W2740934843 cites W2106689163 @default.
- W2740934843 cites W2159804191 @default.
- W2740934843 cites W2320456984 @default.
- W2740934843 cites W2326886507 @default.
- W2740934843 cites W2337216523 @default.
- W2740934843 cites W2798909945 @default.
- W2740934843 cites W1614043317 @default.
- W2740934843 hasPublicationYear "2006" @default.
- W2740934843 type Work @default.
- W2740934843 sameAs 2740934843 @default.
- W2740934843 citedByCount "2" @default.
- W2740934843 crossrefType "journal-article" @default.
- W2740934843 hasAuthorship W2740934843A5042798397 @default.
- W2740934843 hasAuthorship W2740934843A5067097078 @default.
- W2740934843 hasAuthorship W2740934843A5073076120 @default.
- W2740934843 hasConcept C106487976 @default.
- W2740934843 hasConcept C121332964 @default.
- W2740934843 hasConcept C130924491 @default.
- W2740934843 hasConcept C134306372 @default.
- W2740934843 hasConcept C147504518 @default.
- W2740934843 hasConcept C158693339 @default.
- W2740934843 hasConcept C159985019 @default.
- W2740934843 hasConcept C192562407 @default.
- W2740934843 hasConcept C195906000 @default.
- W2740934843 hasConcept C2780427248 @default.
- W2740934843 hasConcept C28826006 @default.
- W2740934843 hasConcept C33923547 @default.
- W2740934843 hasConcept C34862557 @default.
- W2740934843 hasConcept C39739852 @default.
- W2740934843 hasConcept C51544822 @default.
- W2740934843 hasConcept C60866291 @default.
- W2740934843 hasConcept C62520636 @default.
- W2740934843 hasConcept C6802819 @default.
- W2740934843 hasConcept C78045399 @default.
- W2740934843 hasConcept C93779851 @default.
- W2740934843 hasConcept C97937538 @default.
- W2740934843 hasConceptScore W2740934843C106487976 @default.
- W2740934843 hasConceptScore W2740934843C121332964 @default.
- W2740934843 hasConceptScore W2740934843C130924491 @default.
- W2740934843 hasConceptScore W2740934843C134306372 @default.
- W2740934843 hasConceptScore W2740934843C147504518 @default.
- W2740934843 hasConceptScore W2740934843C158693339 @default.
- W2740934843 hasConceptScore W2740934843C159985019 @default.
- W2740934843 hasConceptScore W2740934843C192562407 @default.
- W2740934843 hasConceptScore W2740934843C195906000 @default.
- W2740934843 hasConceptScore W2740934843C2780427248 @default.
- W2740934843 hasConceptScore W2740934843C28826006 @default.
- W2740934843 hasConceptScore W2740934843C33923547 @default.
- W2740934843 hasConceptScore W2740934843C34862557 @default.
- W2740934843 hasConceptScore W2740934843C39739852 @default.
- W2740934843 hasConceptScore W2740934843C51544822 @default.
- W2740934843 hasConceptScore W2740934843C60866291 @default.
- W2740934843 hasConceptScore W2740934843C62520636 @default.
- W2740934843 hasConceptScore W2740934843C6802819 @default.
- W2740934843 hasConceptScore W2740934843C78045399 @default.
- W2740934843 hasConceptScore W2740934843C93779851 @default.
- W2740934843 hasConceptScore W2740934843C97937538 @default.
- W2740934843 hasLocation W27409348431 @default.
- W2740934843 hasOpenAccess W2740934843 @default.
- W2740934843 hasPrimaryLocation W27409348431 @default.
- W2740934843 hasRelatedWork W1530442889 @default.
- W2740934843 hasRelatedWork W1942917156 @default.
- W2740934843 hasRelatedWork W2028247342 @default.
- W2740934843 hasRelatedWork W2053557246 @default.
- W2740934843 hasRelatedWork W2102706255 @default.
- W2740934843 hasRelatedWork W2106689163 @default.
- W2740934843 hasRelatedWork W2199567889 @default.
- W2740934843 hasRelatedWork W2356135548 @default.
- W2740934843 hasRelatedWork W2511654941 @default.
- W2740934843 hasRelatedWork W2590510367 @default.
- W2740934843 hasRelatedWork W2894893607 @default.
- W2740934843 hasRelatedWork W2948001359 @default.
- W2740934843 hasRelatedWork W2951790455 @default.
- W2740934843 hasRelatedWork W3045689766 @default.
- W2740934843 hasRelatedWork W3087352120 @default.
- W2740934843 hasRelatedWork W3145033842 @default.
- W2740934843 hasRelatedWork W3163471301 @default.
- W2740934843 hasRelatedWork W3193474727 @default.
- W2740934843 hasRelatedWork W1925500096 @default.
- W2740934843 hasRelatedWork W2474991370 @default.
- W2740934843 isParatext "false" @default.
- W2740934843 isRetracted "false" @default.
- W2740934843 magId "2740934843" @default.
- W2740934843 workType "article" @default.