We consider the nonlinear discrete Volterra equations of non-convolution type [formula] We
present sufficient conditions for the existence of solutions with prescribed asymptotic …

This paper investigates the bounded input bounded output (BIBO) stability in a class of
control system of nonlinear differential equations with time-delay. The proofs are based on …

We consider the discrete Volterra type equation of the form Δ (rn Δ xn)= bn+∑ k= 1 n K (n, k)
f (xk). We present sufficient conditions for the existence of solutions with prescribed …

In this paper, using the fixed point theorem, we investigate the boundedness and asymptotic
stability of the zero solution of the discrete Volterra equation x (n+ 1)= a (n)+ b (n) x (n)+∑ i …

This paper concerns the asymptotic behaviour of solutions of a linear convolution Volterra
summation equation with an unbounded forcing term. In particular, we suppose the kernel is …

In this paper we investigate the Volterra difference equation of the form $\D (r_n\D x_n)=
b_n+\sum_ {k= 1}^{n} K (n, k) f (x_k). $ We establish sufficient conditions for the existence of …

We investigate the higher order nonlinear discrete Volterra equations. We study solutions
with prescribed asymptotic behavior. For example, we establish sufficient conditions for the …

ASYMPTOTICS OF A RENEWAL-LIKE RECURSION AND AN INTEGRAL EQUATION Page 1
Applicable Analysis and Discrete Mathematics available online at http://pefmath.etf.rs Appl …

This thesis concerns the asymptotic growth of solutions to nonlinear functional differential
equations, both random and deterministic. How quickly do solutions grow? How do growth …

We consider the discrete Volterra type equation of the form Δ (𝑟𝑛Δ𝑥𝑛)= 𝑏𝑛+∑ 𝑛 𝑘= 1 𝐾
(𝑛, 𝑘) 𝑓 (𝑥𝑘). We present sufficient conditions for the existence of solutions with prescribed …