Results 1 to 10 of about 674 (52)
On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy [PDF]
, 2007 We give a simple algebraic proof that the two different Lax pairs for the Kac-van Moerbeke hierarchy, constructed from Jacobi respectively super-symmetric Dirac-type difference operators, give rise to the same hierarchy of evolution equations.
B.A. Dubrovin +10 more
core +3 more sources
Oscillatory Properties of Solutions of the Fourth Order Difference Equations with Quasidifferences [PDF]
, 2014 A class of fourth--order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four--dimensional difference system.
Jankowski, Robert +2 more
core +2 more sources
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
Berenhaut +16 more
core +1 more source
Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]
, 2010 We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.Comment: To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com).
Bohner, Martin J. +2 more
core +2 more sources
Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [PDF]
, 2005 The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations.
Halburd, R. G., Korhonen, R. J.
core +3 more sources
Estimates for the norms of solutions of difference systems with several delays
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1447-1453, 2004., 2004 We derive explicit stability conditions for time‐dependent difference equations with several delays in Cn (the set of n complex vectors) and estimates for the size of the solutions. The growth rates obtained here are not necessarily decay rates.
Rigoberto Medina
wiley +1 more source
Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004 We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley +1 more source
Yang-Baxter maps and the discrete KP hierarchy [PDF]
, 2009 We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with ...
Kakei, S., Nimmo, J.J.C., Willox, R.
core +1 more source
On a difference equation with min‐max response
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2915-2926, 2004., 2004 We investigate the global behavior of the (positive) solutions of the difference equation xn+1 = αn + F(xn, …, xn−k), n = 0, 1, …, where (αn) is a sequence of positive reals and F is a min‐max function in the sense introduced here. Our results extend several results obtained in the literature.
George L. Karakostas, Stevo Stević
wiley +1 more source
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
wiley +1 more source