Results 31 to 40 of about 359 (107)
$\mathcal{S}$-adic characterization of minimal dendric shifts [PDF]
Discrete Mathematics & Theoretical Computer ScienceDendric shifts are defined by combinatorial restrictions of the extensions of the words in their languages. This family generalizes well-known families of shifts such as Sturmian shifts, Arnoux-Rauzy shifts and codings of interval exchange ...
France Gheeraert, Julien Leroy
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On minimal Sturmian partial words
Discrete Applied Mathematics, 2011 The subword complexity \(p_w (n)\) of a word \(w\) is the function that maps \(n\) to the number of distinct length-\(n\) factors occurring in \(w\). A partial word is a word with a ``don't care'' symbol \(\diamond\) that matches every other symbol. The notion of subword complexity can be extended to partial words \(w\) by counting the total number of ...
Blanchet-Sadri, Francine, Lensmire, John
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Sturmian words, Lyndon words and trees
Theoretical Computer Science, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berstel, Jean, de Luca, Aldo
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Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 This paper is concerned with boundary value problems for a fourth‐order nonlinear difference equation. Via variational methods and critical point theory, sufficient conditions are obtained for the existence of at least two nontrivial solutions, the existence of n distinct pairs of nontrivial solutions, and nonexistence of solutions.
Xia Liu +3 more
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The Existence and Structure of Rotational Systems in the Circle
Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous transformation f : X → X with the requirements that the dynamical system (X, f) be minimal and that f respect the standard orientation of T. We show that infinite rotational systems (X, f), with the property that map f has finite preimages, are extensions
Jayakumar Ramanathan, Simeon Reich
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Solvability of Nth Order Linear Boundary Value Problems
International Journal of Differential Equations, Volume 2015, Issue 1, 2015., 2015 This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same functions.
P. Almenar, L. Jódar, Peiguang Wang
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On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 We study the half‐linear differential equation (r(t)Φ(x′)) ′ + c(t)Φ(x) = 0, where Φ(x) = |x|p−2x, p > 1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille‐Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a ...
Simona Fišnarová +2 more
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Weyl‐Titchmarsh Theory for Time Scale Symplectic Systems on Half Line
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 We develop the Weyl‐Titchmarsh theory for time scale symplectic systems. We introduce the M(λ)‐function, study its properties, construct the corresponding Weyl disk and Weyl circle, and establish their geometric structure including the formulas for their center and matrix radii. Similar properties are then derived for the limiting Weyl disk. We discuss
Roman Šimon Hilscher +2 more
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On polynomials of Sheffer type arising from a Cauchy problem
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2119-2137, 2003., 2003 A new sequence of eigenfunctions is developed and studied in depth. These theta polynomials are derived from a recent analytic solution of the canonical Cauchy problem for parabolic equations, namely, the inverse heat conduction problem. By appealing to the methods of the operator calculus, it is possible to categorize the new functions as polynomials ...
D. G. Meredith
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Occurrences of palindromes in characteristic Sturmian words
, 2006 This paper is concerned with palindromes occurring in characteristic Sturmian words cα of slope α, where α∈(0,1) is an irrational. As cα is a uniformly recurrent infinite word, any (palindromic) factor of cα occurs infinitely many times in cα with ...
Glen, Amy, Glen, Amy Louise, Glen, A.
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