The method of guiding functions (MGF) was originally developed by MA Krasnosel'skii and
AI Perov as one of the tools for solving problems of periodic oscillations in nonlinear systems …

The efficient conditions guaranteeing the existence of a T-periodic solution to the second
order differential equation u ″= h (t) g (u) are established in the paper. Here, g is a positive …

We study the existence of twist periodic solutions of second order differential equations with
an attractive–repulsive singularity. Such twist periodic solutions are stable in the sense of …

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 …

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 …

Periodic solution generated by impulses for singular differential equations - ScienceDirect Skip
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Positive periodic solution to a second-order differential equation with attractive-repulsive
singularities Page 1 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 52 (2022), No. 1 …

The existence and multiplicity of T-periodic solutions to a class of differential equations with
attractive singularities at the origin are investigated in the paper. The approach is based on …