AbstractIn this work we define Ψ-boundedness of sequences and discuss the existence of Ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of Ψ-bounded solutions for the linear nonhomogeneous difference equation x(n+1)=A(n)x(n)+f(n)
on his 70th birthday anniversary Abstract. We give some existence results for bounded solutions of l...
Abstract. In this article, we present a necessary and sufficient condition for the existence of solu...
ABSTRACT. The authors consider the nonlinear difference equation where Ay, Y,+I Y,, {P,}, {q,}, and ...
In this paper, we give a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractSufficient conditions of existence and uniqueness of α-bounded and bounded solutions to the ...
Abstract We present some interesting facts connected with the following second-order difference equa...
By using a solvability method along with the contraction mapping principle quite recently has been ...
We present a collection of techniques for demonstrating the existence of un-bounded solutions. We th...
We consider the linear difference equation ∆ m xn + δanxn+1 =0 where m ≥ 2, δ = ±1 and{an} is a posi...
Abstract. It is proved a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractIn this work we define Ψ-boundedness of sequences and discuss the existence of Ψ-bounded sol...
Abstract. We prove a necessary and sufficient condition for the existence of Ψ-bounded solutions of ...
AbstractIn this paper we obtain sufficient conditions for the global asymptotic stability of the dif...
We study the boundedness of the difference equation , where and the initial values . We show that...
AbstractThis paper is concerned with the qualitative behaviour of solutions to difference equations....
on his 70th birthday anniversary Abstract. We give some existence results for bounded solutions of l...
Abstract. In this article, we present a necessary and sufficient condition for the existence of solu...
ABSTRACT. The authors consider the nonlinear difference equation where Ay, Y,+I Y,, {P,}, {q,}, and ...
In this paper, we give a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractSufficient conditions of existence and uniqueness of α-bounded and bounded solutions to the ...
Abstract We present some interesting facts connected with the following second-order difference equa...
By using a solvability method along with the contraction mapping principle quite recently has been ...
We present a collection of techniques for demonstrating the existence of un-bounded solutions. We th...
We consider the linear difference equation ∆ m xn + δanxn+1 =0 where m ≥ 2, δ = ±1 and{an} is a posi...
Abstract. It is proved a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractIn this work we define Ψ-boundedness of sequences and discuss the existence of Ψ-bounded sol...
Abstract. We prove a necessary and sufficient condition for the existence of Ψ-bounded solutions of ...
AbstractIn this paper we obtain sufficient conditions for the global asymptotic stability of the dif...
We study the boundedness of the difference equation , where and the initial values . We show that...
AbstractThis paper is concerned with the qualitative behaviour of solutions to difference equations....
on his 70th birthday anniversary Abstract. We give some existence results for bounded solutions of l...
Abstract. In this article, we present a necessary and sufficient condition for the existence of solu...
ABSTRACT. The authors consider the nonlinear difference equation where Ay, Y,+I Y,, {P,}, {q,}, and ...
DOI
Add to ORKG![On Boundedness of Solutions of the Difference Equation <inline-formula><graphic file="1687-1847-2009-463169-i1.gif"/></inline-formula> for <inline-formula><graphic file="1687-1847-2009-463169-i2.gif"/></inline-formula>](/en/item/27004323/On-Boundedness-of-Solutions-of-the-Difference-Equation-lessinline-formulagreaterlessgraphic-file"1687-1847-2009-463169-i1.gif"greaterlessinline-formulagreater-for-lessinline-formulagreaterlessgraphic-file"1687-1847-2009-463169-i2.gif"greaterlessinline-formulagreater){kind=link}