Results 1 to 10 of about 1,420,389 (158)
Natural Product Type III Secretion System Inhibitors [PDF]
Antibiotics, 2019 Many known inhibitors of the bacterial type III secretion system (T3SS), a virulence factor used by pathogenic bacteria to infect host cells, are natural products.
Heather A. Pendergrass, Aaron E. May
doaj +3 more sources
Solvability of a product-type system of difference equations with six parameters [PDF]
Advances in Nonlinear Analysis, 2016 Closed form formulas for well-defined complex-valued solutions to a product-type system of difference equations of interest with six parameters are presented. The form of the solutions is described in detail in terms of the parameters and initial values.
Stević Stevo
doaj +4 more sources
On a practically solvable product-type system of difference equations of second order [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The problem of solvability of the following second order system of difference equations $$z_{n+1}=\alpha z_n^aw_n^b,\qquad w_{n+1}=\beta w_n^cz_{n-1}^d,\qquad n\in\mathbb{N}_0,$$ where $a,b,c,d\in\mathbb{Z}$, $\alpha, \beta \in\mathbb{C}\setminus\{0\}$, $
Stevo Stevic, Dragana Rankovic
doaj +4 more sources
Solution to the solvability problem for a class of product-type systems of difference equations [PDF]
Advances in Difference Equations, 2017 Solution to the solvability problem for a class of product-type systems of difference equations is given by presenting explicit formulas for its solutions. In the main/most complicated cases the problem is solved by using two different methods.
Stevo Stević
doaj +2 more sources
Product-type system of difference equations with a complex structure of solutions
Advances in Difference Equations, 2017 The solvability of the following system of difference equations z n + 1 = α z n a w n b , w n + 1 = β w n − 2 c z n − 2 d , n ∈ N 0 , $$z_{n+1}=\alpha z_{n}^{a}w_{n}^{b},\qquad w_{n+1}=\beta w_{n-2}^{c}z_{n-2}^{d},\quad n\in {\mathbb {N}}_{0}, $$ where a
Stevo Stević
doaj +3 more sources
Product-type system of difference equations of second-order solvable in closed form
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper presents solutions of the following second-order system of difference equations $$x_{n+1}=\frac{y_n^a}{z_{n-1}^b},\qquad y_{n+1}=\frac{z_n^c}{x_{n-1}^d},\qquad z_{n+1}=\frac{x_n^f}{y_{n-1}^g},\qquad n\in N_0,$$ where $a,b,c,d,f,g\in Z$, and ...
Stevo Stevic
doaj +3 more sources
Solvable product-type system of difference equations with two dependent variables
Advances in Difference Equations, 2017 It has been recently noticed that there is a finite number of two-dimensional classes of product-type systems of difference equations solvable in closed form. We present a new class of this type. A detailed analysis of the form of its solutions is given.
Stevo Stević
doaj +3 more sources
Solvable product-type system of difference equations of second order
Electronic Journal of Differential Equations, 2015 We show that the system of difference equations $$ z_{n+1}=\frac{w_n^a}{z_{n-1}^b},\quad w_{n+1}=\frac{z_n^c}{w_{n-1}^d},\quad n\in\mathbb{N}_0, $$ where $a,b,c,d\in\mathbb{Z}$, and initial values $z_{-1}, z_0, w_{-1}, w_0\in\mathbb{C}$, is ...
Stevo Stevic +3 more
doaj +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The solvability problem for the following system of difference equations $$z_{n+1}=\alpha z_n^aw_n^b,\quad w_{n+1}=\beta w_{n-1}^cz_{n-2}^d,\quad n\in\mathbb{N}_0,$$ where $a,b,c,d\in\mathbb{Z}$, $\alpha,\beta\in\mathbb{C}\setminus\{0\}$, $z_{-2}, z_{-1}
Stevo Stevic
doaj +3 more sources
Two-dimensional product-type systems of difference equations of delay-type (2,2,1,2)
Electronic Journal of Differential Equations, 2017 We prove that the following class of systems of difference equations is solvable in closed form: $$ z_{n+1}=\alpha z_{n-1}^aw_n^b,\quad w_{n+1}=\beta w_{n-1}^cz_{n-1}^d,\quad n\in\mathbb{N}_0, $$ where $a, b, c, d\in\mathbb{Z}$, $\alpha, \beta, z_{
Stevo Stevic
doaj +2 more sources