AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natural assumptions an existence and uniqueness theorem is proven. The existence of the asymptotic expansion of the solution and computability of its coefficients are shown, provided the coefficients of the equation have such an expansion
We prove the existence of solutions to a time-varying distributed Riccati equation when a suitable c...
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natura...
AbstractIn the first part inequalities for solutions of Riccati matrix difference equations are obta...
In the first part inequalities for solutions of Riccati matrix difference equations are obtained whi...
We generalize Franke's generalized Liouvillian extension and Karr's ΠΣ-extension, and study solvabil...
AbstractWe prove a comparison theorem for the solutions of a rational matrix difference equation, ge...
We prove a generalization to C of a well known theorem [3] that in R, the Riccati equation W 0 +W 2 ...
We investigate the global behavior of the solutions of several rational difference equations. In par...
AbstractIn this paper we investigate generalized Riccati differential and difference equations obtai...
Discrete algebraic Riccati equations and their fixed points are well understood and arise in a varie...
This paper defines several Riccati equations that allow checking the stability of difference equatio...
AbstractFor linear functional difference equations, we obtain some results on the asymptotic behavio...
In this difference equation, Stability, Periodicity, boundedness, global Stability. We investigate s...
We prove the existence of solutions to a time-varying distributed Riccati equation when a suitable c...
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natura...
AbstractIn the first part inequalities for solutions of Riccati matrix difference equations are obta...
In the first part inequalities for solutions of Riccati matrix difference equations are obtained whi...
We generalize Franke's generalized Liouvillian extension and Karr's ΠΣ-extension, and study solvabil...
AbstractWe prove a comparison theorem for the solutions of a rational matrix difference equation, ge...
We prove a generalization to C of a well known theorem [3] that in R, the Riccati equation W 0 +W 2 ...
We investigate the global behavior of the solutions of several rational difference equations. In par...
AbstractIn this paper we investigate generalized Riccati differential and difference equations obtai...
Discrete algebraic Riccati equations and their fixed points are well understood and arise in a varie...
This paper defines several Riccati equations that allow checking the stability of difference equatio...
AbstractFor linear functional difference equations, we obtain some results on the asymptotic behavio...
In this difference equation, Stability, Periodicity, boundedness, global Stability. We investigate s...
We prove the existence of solutions to a time-varying distributed Riccati equation when a suitable c...
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
DOI
Add to ORKG