Show simple item record

dc.contributor.authorMunoz-Lecanda, Miguel C. ( Orcid Icon 0000-0002-7037-0248 )
dc.contributor.authorRoman-Roy, Narciso ( Orcid Icon 0000-0003-3663-9861 )
dc.date.accessioned2019-11-22T14:39:10Z
dc.date.available2019-11-22T14:39:10Z
dc.date.issued1999-04-01
dc.identifier.citationMunoz-Lecanda, M. C., & Roman-Roy, N. (1999). Implicit quasilinear differential systems: a geometrical approach. Electronic Journal of Differential Equations, 1999(10), pp. 1-33.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/8870
dc.description.abstractThis work is devoted to the study of systems of implicit quasilinear differential equations. In general, no set of initial conditions is admissible for the system. It is shown how to obtain a vector field whose integral curves are the solution of the system, thus reducing the system to one that is ordinary. Using geometrical techniques, we give an algorithmic procedure in order to solve these problems for systems of the form A(x)ẋ = α(x) with A(x) being a singular matrix. As particular cases, we recover some results of Hamiltonian and Lagrangian Mechanics. In addition, a detailed study of the symmetries of these systems is carried out. This algorithm is applied to several examples arising from technical applications related to control theory.en_US
dc.formatText
dc.format.extent33 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectImplicit differential equationsen_US
dc.subjectConstrained systemsen_US
dc.subjectVector fieldsen_US
dc.subjectDifferentiable manifoldsen_US
dc.titleImplicit Quasilinear Differential Systems: A Geometrical Approachen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record