[PDF] Top 20 On the solutions of a max type system of difference equations with period two parameters

... On the solutions of a max type system of difference equations with period two parameters Su et al Advances in Difference Equations (2018) 2018 358 https //doi org/10 1186/s13662 018 1826 1 R E S E A R[.] ... See full document

... their solutions. Not so long after that we realized that a related system with three dependent variables was also solvable [], and that the case k = m = , l = s = , was solvable ei- ther ...their ... See full document

... , max-type system () has a unique periodic solution with period ω and that every solution to the system converges to the periodic ... See full document

... of two-dimensional classes of product-type systems of difference equations solvable in closed ...this type. A detailed analysis of the form of its solutions is ... See full document

... the max-type difference equation theory, scholars have combined it with the fuzzy sets theory (see, ...the max-type fuzzy difference equation, and at the same time doing numerous ... See full document

... the System (1). We show that System (1) may have between zero and three equilibrium points, which may have different local ...If System (1) has one equilibrium point, then this point is either ... See full document

... of system () is eventually either one of the two prime period  solutions or the equilibrium ...difference equations will give us the germ of generality that is required to understand ... See full document

... closed form, due to the well-known fact that roots of the polynomials of degree d ≥  can- not be solved by radicals. Hence, it is of interest to find all the classes of practically solvable product-type systems of ... See full document

... This paper is organized as follows. In Section , we provide basic definitions and demon- strate some lemmas in order to prove our main results. In Section , we establish some results for the existence of at least ... See full document

... the solutions of the equations (44) are ...of equations (45) are that x ( 1) ...that equations (45) satisfy the condition of Theorems 2 and ...the solutions of the equations (45) ... See full document

... Then from statement (i) of Lemma 5.1 the sequences L n,a , R n,a , a ∈ E are periodic se- quences of period two for n ≥ 5. Moreover, since for any a ∈ (0, 1] − E the relation (5.16) does not hold, then from ... See full document

... of equations such as ordinary, partial, and dis- crete types; see ...particular, two-dimensional discrete maps are studied in great detail and very precise results which describe the global dynamics and the ... See full document

... of parameters and for initial conditions in an invariant compact ...algebra system code for performing certain calculations that involve polynomials with a large number of terms over 365 000 in one ... See full document

... Difference equations appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so ... See full document

... entire solutions and the form of transcendental meromorphic solutions of some types of systems of higher-order complex difference equations are ...of solutions of complex q-difference ... See full document

... The paper is organized as follows. In Section , we present basic definitions and demon- strate some lemmas in order to prove our main results. In Section , we establish some results for the existence of at least ... See full document

... We show that every positive solution of Eq.(1) is unbounded provided that either (37), (38), or (39) hold true. We first establish some useful lemmas. In particular, the next four lemmas will show that every positive ... See full document

... Remark  As we mentioned before, Corollary  includes the well-known problem on the existence of asymptotically constant solutions, just taking g(x) = C, with C a constant. Obviously, the situation covered by our ... See full document

... functional system on q-difference equations, our results can give estimates on the proximity functions and the counting functions of the solutions of q-difference equations ...that ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 31272, 13 pages doi 10 1155/2007/31272 Research Article On a k Order System of Lyness Type Difference Equations[.] ... See full document