[PDF] Top 20 On the solutions of second order generalized difference equations

... many interesting results and applications in number theory as well as in fluid dynamics can be obtained. By extending the study for sequences of complex numbers and to be real, some new qualitative properties like ... See full document

... however, no significant progress took place on this line. Recently, equation () was recon- sidered and its inverse was defined by – , and many interesting results in applications such as in number theory as well as in ... See full document

... asymptotic solutions of second-order linear differential equations, the method used in Wong and Li’s papers cannot give us way to obtain error bounds of these asymptotic ...Only order ... See full document

... Some relevant results related to this topic can be found in papers by Baštinec et al. [], Baštinec et al. [], Berezansky et al. [], Diblík and Hlavičková [], and Diblík et al. []. For the reader’s convenience, ... See full document

... of solutions of neutral difference equations, see [1]-[5], and the references cited ...neutral difference equations with “maxima”, see [6]-[9], and the references cited ...all ... See full document

... [8] studied the global behavior of positive solution to the fourth-order rational difference equations.. Although difference equations are sometimes very simple in their forms, they are [r] ... See full document

... q-difference equations initiated at the beginning of the twentieth century [–] is a very interesting field in difference ...q-difference equations is still in the initial stages and many aspects of this ... See full document

... difference equations with mixed singularities is at this moment very incomplete, and few references can be cited (see [, –]) if compared with the large number of references devoted to singular ... See full document

... restrict our considerations just to eventually positive solutions without loss of generality. We end this section recalling the definition of recessive solution of 1.1. Assume that 1.1 is nonoscillatory. A ... See full document

... 10. P.Mohankumar and A.Ramesh, Oscillatory Behaviour Of The Solution Of The Third Order Nonlinear Neutral Delay Difference Equation, International Journal of Engineering Research & Technology (IJERT) ... See full document

... periodic solutions of ...lower solutions [2, 10, 15], fixed point theorems [6, 7, 17–19], alternative principle of Leray–Schauder [4, 11], or topological degree theory [23, ...positive solutions of ... See full document

... In recent years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et al. 1, Guo and Tian 2, Henderson and Peterson 3, and ... See full document

... Difference equations have attracted the interest of many researchers in the last 20 years since they provided a natural description of several discrete models, in which the periodic solution problem is ... See full document

... the second authors was supported by the Serbian Ministry of Education and Science, project III ...the second author was also supported by the Serbian Ministry of Education and Science, project OI ... See full document

... y ′ α − y ′ = p t y β − y (7) Discrete models are more suitable for understanding the problems in Economics, genetics, population dy- namics etc. In the qualitative theory of difference equations asymptotic ... See full document

... In this section, we investigate the stability of system (1.1). Further, we …nd out negative equilibrium point of system (1.1) is locally asymptotically stable and if initial values are in ( 1; 0), then solutions ... See full document

... nonoscillatory solutions for equation ...nonoscillatory solutions and discuss the errors estimates between the iterative approximations and the bounded nonoscillatory ... See full document

... Table 1: Mathematica code needed to do the calculations in Claim 3. Here we define the functions g, f and T , as well as the expression DELTA2. The reparametrizations indicated in the proof of Claim 3 for the case g > ... See full document

... difference equations has experienced a significant interest in the past years, as they arise naturally in the modelling of real-world phenomena (see, ...of solutions of both differential and di ff erence ... See full document

... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ... See full document