[PDF] Top 20 Applications of differential difference equations

... A P P 1 I CAT ION S 0 F D IFF ERE N C E D IFF ERE N T I A 1 E QUA T ION S A thesis submitted for the degree of MASTER OF SC IENCE at the Australian National University, Canberra by Noel Gregory CRASKE[.] ... See full document

... of applications there is a frequently arising question, namely how robust is a characteristic qualitative property of a system ...the difference equation y n (   1) B y ( ) n  h n ( , ( ) y n ) ... See full document

... from its Lax representation and show that it is Nijenhuis and generates local commut- ing symmetries. In general, it is not easy to construct a recursion operator for a given integrable equation although the explicit ... See full document

... The aim of this paper is to give a comprehensive account of multi-Hamiltonian structures, recursion op- erators and Darboux-Lax representations for a wide class of integrable di ff erential-di ff erence equations. ... See full document

... out an interesting connection between the family of input-output operators and the size of the smallest perturbation in the presence of which the perturbed system loses its exponential stability. The variational case ... See full document

... ordinary differential equations, difference equations, dynamic equations on time scales, p-Laplacian, fractional order differential equations and boundary value ... See full document

... its applications to singular differential equations and difference equations, to Morkov chains and iterative methods, to cryptography, to numerical analysis, to structured matrices and ... See full document

... [8] M. C. Agarana and O. O. Ajayi, “Dynamic Modeling and Analysis of Inverted Pendulum using Lagrangian-Differential Transform Method,”in Lecture Notes in Engineering and Computer Science: World Congress on ... See full document

... In applications, two mixed problems for tele- graph partial differential equations are ...In applications, stability estimates for the solution of difference schemes for the two mixed problems for ... See full document

... finite difference method to solve singularly perturbed differential- difference equations with layer ...finite difference approximation for second order derivative, a modified second ... See full document

... 27. Nieto, JJ, Rodríguez-López, R: Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Acta Math Sin Engl Ser. 23, 2205 – 2212 ... See full document

... The simple difference system of first order was found and described by the author re- cently []. This example shows that even for the simplest cases, we obtain the system of difference equations of first order with ... See full document

... differential equations in the complex plane C, it is always an interesting and quite difficult problem to prove the existence or uniqueness of the entire or meromorphic solution of a given ...difference ... See full document

... Recently, there were many results on meromorphic solutions of complex functional equations (see [–]). In , Barnett et al. [] firstly established an analog of the log- arithmic derivative lemma on ... See full document

... Liu et al Advances in Difference Equations 2012, 2012 127 http //www advancesindifferenceequations com/content/2012/1/127 R ES EA RCH Open Access Some results of certain types of difference and differ[.] ... See full document

... 9. Liu, K., Liu, X., Cao, T.B. : Value distribution of the difference opera- tor, Advances in Difference equations, Vol.2011, Art ID 234215,12 pages. 10. Yang, C.C., Hua, X.H.: Uniqueness and value ... See full document

... make applications to difference and differential equations, we still need to define the notion of uniform semi-periodicity and prove that the associated Nemystkii operators map the set of semi-periodic ... See full document

... Due to the rapid development of advanced applied sciences, non-classical tools of cal- culus, i.e., fractional calculus, q-calculus, etc., have been becoming more active and have been found useful in describing important ... See full document

... In this paper, by using the Guo-Krasnoselskii theorem, we investigate the existence and nonexistence of positive solutions of a system of integral equation with parameters which can be seen as an effective generalization ... See full document

... In the light of the above examined writing, the present study concentrates on establish- ing the uniqueness and existence criteria of solutions of the nonlinear C-FFDE. Also, we demonstrate the effectiveness of the ... See full document