Wronskians and subspaces of certain fourth order differential equations

The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.

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Main Authors: G. J. Etgen, Willie E. Taylor
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000208
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author G. J. Etgen
Willie E. Taylor
author_facet G. J. Etgen
Willie E. Taylor
author_sort G. J. Etgen
collection DOAJ
description The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.
format Article
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institution Kabale University
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1687-0425
language English
publishDate 1980-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-166d0a15c7ed428a9dea055d3ad55c982025-08-20T03:54:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013227529210.1155/S0161171280000208Wronskians and subspaces of certain fourth order differential equationsG. J. Etgen0Willie E. Taylor1Department of Mathematics, University of Houston, Houston 77004, Texas, USADepartment of General Academics, Texas A & M University at Galveston, Mitchell Campus, P.O. Box 1675, Galveston 77553, Texas, USAThe objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.http://dx.doi.org/10.1155/S0161171280000208ordinary differential equationsWronskianoscillatory or non-oscillatory solutions.
spellingShingle G. J. Etgen
Willie E. Taylor
Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences
ordinary differential equations
Wronskian
oscillatory or non-oscillatory solutions.
title Wronskians and subspaces of certain fourth order differential equations
title_full Wronskians and subspaces of certain fourth order differential equations
title_fullStr Wronskians and subspaces of certain fourth order differential equations
title_full_unstemmed Wronskians and subspaces of certain fourth order differential equations
title_short Wronskians and subspaces of certain fourth order differential equations
title_sort wronskians and subspaces of certain fourth order differential equations
topic ordinary differential equations
Wronskian
oscillatory or non-oscillatory solutions.
url http://dx.doi.org/10.1155/S0161171280000208
work_keys_str_mv AT gjetgen wronskiansandsubspacesofcertainfourthorderdifferentialequations
AT willieetaylor wronskiansandsubspacesofcertainfourthorderdifferentialequations