Results 1 to 10 of about 792 (81)
Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality.
Aydin Tiryaki, Sinem Sahiner
doaj +4 more sources
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 +2 more sources
A generalized nonlinear Picone identity for the p-biharmonic operator and its applications
Journal of Inequalities and Applications, 2019 A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
doaj +1 more source
Rayleigh principle for time scale symplectic systems and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper we establish the Rayleigh principle, i.e., the variational characterization of the eigenvalues, for a general eigenvalue problem consisting of a time scale symplectic system and the Dirichlet boundary conditions.
Roman Simon Hilscher, V. Zeidan
doaj +1 more source
Complexity and growth for polygonal billiards [PDF]
, 2001 We establish a relationship between the word complexity and the number of generalized diagonals for a polygonal billiard. We conclude that in the rational case the complexity function has cubic upper and lower bounds.
Cassaigne, J. +2 more
core +5 more sources
Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions [PDF]
, 2001 A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body scattering.
A. A. Kvitsinsky +29 more
core +2 more sources
Integral equations for three-body Coulombic resonances [PDF]
, 1999 We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem.
Filikhin, I. N. +2 more
core +2 more sources
The recurrence function of a random Sturmian word
, 2016 This paper describes the probabilistic behaviour of a random Sturmian word. It performs the probabilistic analysis of the recurrence function which can be viewed as a waiting time to discover all the factors of length $n$ of the Sturmian word.
Rotondo, Pablo, Vallee, Brigitte
core +3 more sources
Sturmian comparison theorems for three-term recurrence equations
Journal of Mathematical Analysis and Applications, 1985 The author considers a discrete analogue of an ordinary, regular, self- adjoint second-order differential equation. For these homogeneous difference equations (or recurrences) with homogeneous discrete boundary conditions of Sturm-Liouville type, several comparison theorems concerning the existence and inclusion of nodes of the corresponding non ...
openaire +1 more source
Enumerating Abelian Returns to Prefixes of Sturmian Words
, 2013 We follow the works of Puzynina and Zamboni, and Rigo et al. on abelian returns in Sturmian words. We determine the cardinality of the set $\mathcal{APR}_u$ of abelian returns of all prefixes of a Sturmian word $u$ in terms of the coefficients of the ...
B. Adamczewski +12 more
core +1 more source