In this work, we study the impulsive periodic solutions of first-order singular ordinary
differential equations. The proof is based on a nonlinear alternative principle of Leray …

This paper is devoted to the following second order dissipative dynamical system u+ cu+∇ g
(u)+ h (u)= e (t) in Rn. When g (u)= g (| u|),∇ g is a coercive function and h is bounded, we …

The existence and multiplicity of positive periodic solutions for second-order non-
autonomous singular dynamical systems are established with superlinearity or sublinearity …

We prove a Nagumo-type uniqueness result for a nonlinear differential equation on a semi-
infinite interval. A typical example of such boundary value problems is a recently derived …

In this paper, the problem of periodic solutions is studied for Liénard equations with
anindefinite singularity x′′(t)+ f (x (t)) x′(t)+ φ (t) xm (t)− α (t) x μ (t)= 0, where f:(0,+∞)→ R …

In this paper, the problem of periodic solutions is studied for second order differential
equations with indefinite singularities x ″(t)+ f (x (t)) x′(t)+ φ (t) xm (t)− α (t) x μ (t)+ β (t) xy …

In this paper, we study the existence, multiplicity and dynamics of positive periodic solutions
to a generalized Liénard equation with repulsive singularities. The Ambrosetti-Prodi type …

In this paper, we study the oscillation of a gas-filled spherical bubble immersed in an infinite
domain of incompressible liquid under the influence of a time-periodic acoustic field. The …

We study the existence of positive periodic solutions for second order singular damped
differential equations by combining the analysis of the sign of Greenʼs functions for the …

A periodic problem of Ambrosetti–Prodi type is studied in this paper for the Liénard equation
with a singularity of attractive type x ″+ f (x) x′+ φ (t) x m+ r (t) x μ= s, where f:(0,+∞)→ R is …