In this article, the study of qualitative properties of a special type of non-autonomous
nonlinear second order ordinary differential equations containing Rayleigh damping and …

On the existence of positive solutions of second order differential equations Page 1 Digital
Object Identifier (DOI) 10.1007/s10231-004-0100-1 Annali di Matematica 184, 131–138 (2005) …

Using the final value theorem of Laplace transform, it is firstly shown that nonhomogeneous
fractional Cauchy problem does not have nonzero periodic solution. Secondly, two basic …

We obtain an existence theorem for monotone positive solutions of nonlinear second-order
ordinary differential equations by using the Schauder–Tikhonov fixed point theorem. The …

In this paper, by constructing a new weighted norm method and analysis technique, we
establish the conditions for the existence and uniqueness of positive monotone solutions to …

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 …

In this article we study the asymptotic behavior of solutions of some fractional differential
equations. We prove convergence to power type functions under some assumptions on the …

We establish that, under some simple integral conditions regarding the nonlinearity, the (1+
α)-order fractional differential equation 0 D α t (x')+ f (t, x)= 0, t> 0, has a solution, with, which …

This article is concerned with solutions that behave asymptotically like polynomials for nth
order (n> 1) nonlinear ordinary differential equations. For each given integer m with 1⩽ m⩽ …