We establish some properties of iterations of the remainder operator which assigns to any
convergent series the sequence of its remainders. Moreover, we introduce the spaces of …

The aim of the present paper is twofold. Firstly, the paper surveys the literature concerning a
specific topic in asymptotic integration theory of ordinary differential equations: the class of …

This work is concerned with the behavior of solutions of a class of second-order nonlinear
differential equations locally near infinity. Using methods of the fixed point theory, the …

In this paper we deal with the problem of asymptotic integration of a class of fractional
differential equations of the Caputo type. The left-hand side of such type of equation is the …

ASYMPTOTIC INTEGRATION OF SOME CLASSES OF FRACTIONAL DIFFERENTIAL
EQUATIONS 1. Introduction Page 1 ØÑÅ Ø Ñ Ø Ð ÈÙ Ð Ø ÓÒ× DOI: 10.2478/tmmp-2013-0010 …

In this article we study the asymptotic behavior of solutions to nonlinear second-order
differential equations having perturbations that involve Caputo's derivatives of several …

It is known that, under certain conditions, solutions of some ordinary differential equations of
first, second or even higher order are asymptotic to polynomials as time goes to infinity. We …

We present a new approach to the theory of asymptotic properties of solutions of difference
equations. Usually, two sequences $ x, y $ are called asymptotically equivalent if the …

For a class of n-th order nonlinear neutral differential equations, sufficient conditions for all
nonoscillatory solutions to satisfy limt→+∞ t1− nx (t)= a are established. For another class of …

Existence of oscillatory solutions of forced second order delay differential equations -
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