Results 31 to 40 of about 4,160,291 (71)
Comparison theorems for ultrahyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 31-40, 1978., 1978 Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non‐standard boundary conditions.
C. C. Travis, E. C. Young
wiley +1 more source
, 2010 International audienceWe consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n + 1 distinct subtrees of height n for each n.
Boasson, Luc +3 more
core +4 more sources
Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj
Picone-type identity for pseudo p-Laplacian with variable power
Electronic Journal of Differential Equations, 2012 A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
doaj
Picone-type inequalities for nonlinear elliptic equations and their applications
Journal of Inequalities and Applications, 2001 Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano +2 more
doaj
Directive words of episturmian words: equivalences and normalization [PDF]
, 2008 Episturmian morphisms constitute a powerful tool to study episturmian words. Indeed, any episturmian word can be infinitely decomposed over the set of pure episturmian morphisms.
Amy Glen +8 more
core +1 more source
Electronic Journal of Differential Equations, 2012 A Picone-type inequality for quasilinear elliptic operators with mixed nonlinearities and with p(x)-Laplacian is established, and Sturmian comparison theorems are derived on the basis of the Picone-type inequality.
Norio Yoshida
doaj
Order and quasiperiodicity in episturmian words [PDF]
, 2007 We prove a refinement of a recent characterization of infinite episturmian words via lexicographic orderings (Glen-Justin-Pirillo, 2007). This allows us to easily characterize the strict episturmian words that are "infinite Lyndon words", i.e., those ...
Glen, A.
core
Transcendence of Sturmian or Morphic Continued Fractions [PDF]
, 2001 We prove, using a theorem of W. Schmidt, that if the sequence of partial quotients of the continued fraction expansion of a positive irrational real number takes only two values, and begins with arbitrary long blocks which are “almost squares,” then this
Allouche, J.-P. +3 more
core +1 more source
Sturmian words with balanced construction [Elektronisk resurs]
, 2009 In this paper we define Sturmian words with balanced construction. We formulate a fixed-point theorem for Sturmian words and analyze the set of all fixed points.
Uscka-Wehlou, Hanna,
core +5 more sources