Sturmian comparison results for quasilinear elliptic equations in $R^n$
, 2007 We obtain Sturmian comparison results for the nonnegative solutions to Dirichlet problems associated with $p$-Laplacian operators. From Picone-type identities [4,9], we obtain results comparing solutions of two types of equations.
Tadie
core
A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems [PDF]
Applied Mathematics Letters, 1999 The main result of the paper is a Sturmian-type separation theorem for the recessive solutions of linear Hamiltonian difference systems. The assumptions on the Hamiltonian systems allow to include the study of Sturm-Liouville difference equations of ...
Martin Bohner, O Došlý, W Kratz
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Characteristic Sturmian words are extremal for the Critical Factorization Theorem [PDF]
Theoretical Computer Science, 2012 We prove that characteristic Sturmian words are extremal for the Critical Factorization Theorem (CFT) in the following sense. If p x ( n ) denotes the local period of an infinite word x at point n , we prove that x is a characteristic Sturmian word if ...
Filippo Mignosi, Antonio RESTIVO
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A Sturmian separation theorem for symplectic difference systems [PDF]
Journal of Mathematical Analysis and Applications, 2007 We establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic difference systems. In particular, we show that the existence of a conjoined basis without focal points in a discrete interval (0,N+1] implies that any other ...
Ondřej Došlý, Werner Kratz
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A Note on the Sturmian Theorem for Singular Boundary Value Problems [PDF]
Journal of Mathematical Analysis and Applications, 1999 In this paper, we study properties of the eigenfunctions of singular boundary value problems. The main results show that for a class of singular boundary value problems, the Sturmian oscillation theorem holds.
Xiyu, Liu
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Sturmian morphisms and α-words [PDF]
Theoretical Computer Science, 1999 In this paper we prove that the set W of α-words over {0,1} coincides with the set of images of 0 under Sturmian morphisms. This gives an alternative approach of generating α-words.
Chuan Wai-Fong, Wai-Fong, Chuan
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Fine and Wilf's theorem for three periods and a generalization of Sturmian words [PDF]
Theoretical Computer Science, 1999 We extend the theorem of Fine and Wilf to words having three periods. We then define the set 3-PER of words of maximal length for which such result does not apply.
Castelli, M.Gabriella +2 more
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Relation between powers of factors and the recurrence function characterizing Sturmian words [PDF]
Theoretical Computer Science, 2009 In this paper we use the relation of the index of an infinite aperiodic word and its recurrence function to give another characterization of Sturmian words.
Edita Pelantová, Z Masáková
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