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[کتاب][B] Lyapunov functionals and stability of stochastic functional differential equations
L Shaikhet - 2013 - books.google.com
Stability conditions for functional differential equations can be obtained using Lyapunov
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …
Rational systems in the plane
Full article: Rational systems in the planeEdited by Gerry LadasIn this section, we present some
open problems and conjectures about some interesting types of difference equations. Please …
open problems and conjectures about some interesting types of difference equations. Please …
[PDF][PDF] Global bifurcation for discrete competitive systems in the plane
A global bifurcation result is obtained for families of competitive systems of difference
equations {xn+ 1= fα (xn, yn) yn+ 1= gα (xn, yn) where α is a parameter, fα and gα are …
equations {xn+ 1= fα (xn, yn) yn+ 1= gα (xn, yn) where α is a parameter, fα and gα are …
[PDF][PDF] Competitive-exclusion versus competitive-coexistence for systems in the plane
We investigate global behavior of xn+ 1= T (xn), n= 0, 1, 2,...(E) where T: R→ R is a
competitive (monotone with respect to the southeast ordering) map on a set R⊂ R2 with …
competitive (monotone with respect to the southeast ordering) map on a set R⊂ R2 with …
[PDF][PDF] A global attractivity result for maps with invariant boxes
We present a global attractivity result for maps generated by systems of autonomous
difference equations. It is assumed that the map of the system leaves invariant a box, is …
difference equations. It is assumed that the map of the system leaves invariant a box, is …
[PDF][PDF] Asymptotic behavior of a competitive system of linear fractional difference equations
We investigate the global asymptotic behavior of solutions of the system of difference
equations xn+ 1=(a+ xn)/(b+ yn), yn+ 1=(d+ yn)/(e+ xn), n= 0, 1,..., where the parameters a …
equations xn+ 1=(a+ xn)/(b+ yn), yn+ 1=(d+ yn)/(e+ xn), n= 0, 1,..., where the parameters a …
[PDF][PDF] Basins of attraction of equilibrium points of monotone difference equations
We investigate the global character of the difference equation of the form xn+ 1= f (xn, xn−
1,..., xn− k+ 1), n= 0, 1,... with several equilibrium points, where f is increasing in all its …
1,..., xn− k+ 1), n= 0, 1,... with several equilibrium points, where f is increasing in all its …
Dynamics of a two-dimensional system of rational difference equations of Leslie--Gower type
We investigate global dynamics of the following systems of difference equations xn+ 1= α 1+
β 1 xn A 1+ ynyn+ 1= γ 2 yn A 2+ B 2 xn+ yn, n= 0, 1, 2,… where the parameters α 1, β 1, A 1 …
β 1 xn A 1+ ynyn+ 1= γ 2 yn A 2+ B 2 xn+ yn, n= 0, 1, 2,… where the parameters α 1, β 1, A 1 …
Global behavior of four competitive rational systems of difference equations in the plane
We investigate the global dynamics of solutions of four distinct competitive rational systems
of difference equations in the plane. We show that the basins of attractions of different locally …
of difference equations in the plane. We show that the basins of attractions of different locally …
[PDF][PDF] Nonhyperbolic dynamics for competitive systems in the plane and global period-doubling bifurcations
We investigate the global period-doubling bifurcations of solutions of the equation xn+ 1= f
(xn, xn− 1), n= 0, 1,... where the function f satisfies certain monotonicity conditions. We also …
(xn, xn− 1), n= 0, 1,... where the function f satisfies certain monotonicity conditions. We also …