We prove the existence of monotone bounded solutions of a recently derived nonlinear
differential equation of geophysical relevance. Our approach relies on functional-analytic …

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 …

We study an initial boundary value problem for Kirchhoff-type parabolic equation with the
fractional p-Laplacian. We first discuss the blow up of solutions in finite time with three initial …

This paper considers asymptotic behaviour of solutions of a nonlinear differential equation of
second order where the coefficient of nonlinearity is a bounded function for arbitrarily large …

We study the asymptotic behavior of solutions to a nonlinear differential equation of the
second order whose coefficient of nonlinearity is a bounded function for arbitrarily large …

We discuss a number of issues important for the asymptotic integration of ordinary
differential equations. After developing the tools required for application of the fixed point …

Second order nonlinear delay differential equations with positive delays are considered, and
sufficient conditions are given that guarantee the existence of positive increasing solutions …

We investigate the existence and uniqueness of bounded solutions to a nonlinear second
order differential equation with asymptotic conditions. Such asymptotic conditions arise in …

The paper is concerned with the asymptotic behavior of solutions to a second order
nonlinear differential equation u+ f (t, u)= 0. Using the Banach contraction principle, we …