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Functional equations for transfer-matrix operators in open Hecke chain models
Functional equations transfer-matrix operators open Hecke chain models
2010/4/6
We consider integrable open chain models formulated in terms of generators of affine Hecke algebras. The hierarchy of commutative elements (which are analogs of the commutative transfer-matrices) are ...
TWO PERIODIC SOLUTIONS OF N-DIMENSIONAL FIRST-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS
Fixed point theorem Periodic solution Multiplicity Neutral functional differential system ndimensional system
2008/11/26
In this paper, we establish existence, multiplicity and nonexistence of periodic solutions for a class
of first-order n-dimensional neutral functional differential equations. Our results improve the ...
PERIODIC AND SUBHARMONIC SOLUTIONS FOR SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
Periodic solutions Subharmonic solutions Functional difference equations Linking Theorem
2008/11/26
In this paper, by using the critical point theory, some sufficient conditions for the
existence and multiplicity of periodic and subharmonic solutions to a class of second
order functional differenc...
ALMOST AUTOMORPHIC SOLUTIONS FOR DISSIPATIVE ORDINARY AND FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Dissipative differential equations almost periodic compact almost automorphic attractive
2008/11/26
In this work, we investigate the existence and uniqueness of an almost automorphic
solution for some dissipative ordinary and functional differential equations in Banach
spaces. We prove the existen...
PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH TWO PARAMETERS
Fixed point theorem positive periodic solution multiplicity neutral functional differential equations
2008/11/25
In this paper, we establish the existence, multiplicity and nonexistence of periodic
solutions for a class of first-order neutral functional differential equations. Our results
improve the previous ...
Existence of Limit Cycles in a Predator-Prey System With a Functional Response of the Form Arctan(ax)
Predator prey system limit cycle unctional response
2008/11/25
We consider a predator prey system with the functional response of the form
µ(x) = arctan(ax); a > 0. The main concern in this paper is the existence of
limit cycles for such system. A necessa...