Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844757 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 12 Pages |
Abstract
An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatory solutions for the differential equation(r(t)|x′|αsgnx′)′=q(t)|x|βsgnx.Some discrepancies among the cases α>βα>β, α=βα=β and α<βα<β are illustrated and compared with the linear case. In addition, when α=βα=β an application to the integral characterization of principal solutions, which answers an open problem stated in [O. Došlý, A. Elbert, Integral characterization of the principal solution of half-linear second order differential equations, Studia Sci. Math. Hungar. 36 (2000) 455–469], is given.
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Authors
Mariella Cecchi, Zuzana Došlá, Mauro Marini, Ivo Vrkoč,