STRONG NONLINEAR LIMIT-POINT/LIMIT-CIRCLE PROPERTIES FOR A CLASS OF FOURTH ORDER EQUATIONS

TitleSTRONG NONLINEAR LIMIT-POINT/LIMIT-CIRCLE PROPERTIES FOR A CLASS OF FOURTH ORDER EQUATIONS
Publication TypeJournal Article
Year of Publication2007
AuthorsBARTUSEK, MIROSLAV, Graef, JR
Secondary TitleCommunications in Applied Analysis
Volume11
Issue4
Start Page469
Pagination484
Date Published12/2007
Type of Workscientific: mathematics
ISSN1083–2564
AMS34B20, 34C11, 34C15, 34D05
Abstract

The authors consider the nonlinear fourth order differential equation with p-Laplacian

where p > 0, λ > 0, a(t) > 0, and r(t) > 0. Asymptotic properties of solutions are studied including the nonlinear limit-point/limit-circle and the strong nonlinear limit-point/limit-circle properties. Examples illustrating the results are also included.

URLhttp://www.acadsol.eu/en/articles/11/4/4.pdf
Short TitleFOURTH ORDER EQUATIONS
Refereed DesignationRefereed
Full Text

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