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AMC
2010
92views more  AMC 2010»
14 years 9 months ago
When is the numerical range of a nilpotent matrix circular?
The problem formulated in the title is investigated. The case of nilpotent matrices of size at most 4 allows a unitary treatment. The numerical range of a nilpotent matrix M of siz...
Valentin Matache, Mihaela T. Matache
AMC
2010
61views more  AMC 2010»
14 years 9 months ago
Global attractivity of a higher-order nonlinear difference equation
In this paper, we investigate the global attractivity of negative solutions of the nonlinear difference equation xn+1 = 1 - xn-k A + xn , n = 0, 1, . . . , where A (-, 0), k is a...
Xiu-Mei Jia, Lin-Xia Hu
AMC
2010
65views more  AMC 2010»
14 years 9 months ago
On conjugate points and the Leitmann equivalent problem approach
This article extends the Leitmann equivalence method to a class of problems featuring conjugate points. The class is characterised by the requirement that the set of indifference ...
F. O. O. Wagener
AMC
2010
71views more  AMC 2010»
14 years 9 months ago
Exact multiplicity of solutions to a diffusive logistic equation with harvesting
An Ambrosetti-Prodi type exact multiplicity result is proved for a diffusive logistic equation with harvesting. We show that a modified diffusive logistic mapping has exactly eith...
Yanan Wang, Yuwen Wang, Junping Shi
AMC
2010
132views more  AMC 2010»
14 years 8 months ago
A note on "New kink-shaped solutions and periodic wave solutions for the (2 + 1)-dimensional Sine-Gordon equation"
Exact solutions of the Nizhnik-Novikov-Veselov equation by Li [New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation, Appl. Math. Co...
Nikolay A. Kudryashov, Pavel N. Ryabov, Dmitry I. ...