[PDF] Top 20 Some properties of algebraic difference equations of first order

... Some properties of algebraic difference equations of first order Liu Advances in Difference Equations (2017) 2017 334 DOI 10 1186/s13662 017 1395 8 R E S E A R C H Open Access Some properties of algeb[.] ... See full document

... Oscillatory properties of certain first and second order difference equations, Journal of Computer and Mathematical Sciences, An International Research Journal, 2(3), 567 -571, ... See full document

... our knowledge, there are few results on the anti-periodic boundary value problem for im- pulsive delay difference equations. Hence, we are concerned with the existence of solutions for anti-periodic boundary value ... See full document

... Mainly, by analyzing the rule for the length of semicycle to occur successively, we clearly describe out the rule for the trajectory structure of its solutions. With the help of several key lemmas, we further derive the ... See full document

... A meromorphic function α(z) is called a small function with respect to f (z), if T(r, α) = S(r, f ), where S(r, f ) denotes any quantity satisfying S(r, f ) = o(T (r, f )) as r → ∞ outside a possible exceptional set E of ... See full document

... The existence and uniqueness of solutions for the problem are proved by means of the Leray-Schauder nonlinear alternative and some standard fixed point theorems. Finally, we give two examples to demonstrate the use ... See full document

... neutral difference equations have been studied extensively and the oscillatory theory for these equations is well developed; see [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] ... See full document

... fourth order finite difference approximation schemes and the result- ing large algebraic system of linear equations is treated systematically in order to get a block tri-diagonal ...for ... See full document

... Partial difference equations arise from the study of molecular orbits, mathematical physics problems and the numerical difference approximation problems ...partial difference equations ... See full document

... first-order impulsive difference equations with time delay. Notions of lower and upper solutions are introduced, with which two new comparison theorems are established. Using Schaefer’s fixed point theorem, ... See full document

... In this paper, we present a new technique based on the direct transformation technique to express analytically the probability density function of the general solution of stochastic line[r] ... See full document

... difference equations is the stability of the solutions of the treated ...linear equations or Lyapunov functions, have been developed for both type of equations, see [7] for ordinary differential ... See full document

... In Wong and Li’s second paper 3, two different cases were given according to different values of parameters. The first case is devoted to the situation when k > 0, and in the second case as k < 0 where k 2p − ... See full document

... respectively. These conditions are also sufficient for the oscillation of (1.1) and (1.2) with p ( n ) ≡ 0 provided that there exists an oscillatory sequence { η ( n ) } such that Δη ( n ) = e ( n ) . In this paper, we are ... See full document

... It should be remarked that many interesting theorems have been proved in [, ] con- cerning the linear (or nonlinear) recurrences. Especially in , the Hyers-Ulam stability of the first-order matrix difference ... See full document

... The first type concerns when and how circumstances might ...partial order which can be re- flected by the parametrization of the joint probability mass function of the idle ...partial order and of ... See full document

... the algebraic order equations for Runge-Kutta Nystr ̈m method, we derive the algebraic order conditions for the IRKD method for solving special third-order ODEs ... See full document

... where the right-hand side is rational in both arguments, has been widely studied during the last decades; see, e.g., [–]. Gundersen et al. [] considered the order of growth of mero- morphic solutions of (.), ... See full document

... complement, algebraic sum, algebraic product, bounded sum, bounded product, max-min composition and so ...studied some properties of the min-max composition of fuzzy ...several ... See full document

... Some algebraic identities on quadra Fibona Pell integer sequence ?zko? Advances in Difference Equations (2015) 2015 148 DOI 10 1186/s13662 015 0486 7 R E S E A R C H Open Access Some algebraic identit[.] ... See full document