In this paper, we establish two different existence results of positive periodic solutions for
second order non-autonomous singular dynamical systems. The first one is based on a …

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 …

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 …

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 …

Recently, Samet et al.(2012) introduced the notion of α‐ψ‐contractive mappings and
established some fixed point results in the setting of complete metric spaces. In this paper …

This paper is devoted to study the existence of periodic solutions to the second-order
differential equation u''+f(u)u'+g(u)=h(t,u), where h is a Carathéodory function and f,g are …

PERIODIC SOLUTION FOR SECOND ORDER DAMPED DIFFERENTIAL EQUATIONS
WITH ATTRACTIVE-REPULSIVE SINGULARITIES 1. Introduction. In 198 Page 1 ROCKY …

In this paper, we prove the existence of a positive periodic solution for nonlinear differential
equation with an indefinite singularity by using Green's function and fixed point theorem in …

For given nonlinear differential equations it may occur that there are no periodic solutions.
By introducing impulses at prescribed instants, periodic solutions may appear. We consider …