Existence and multiplicity of periodic solutions to differential equations with attractive singularities
José Godoy, Robert Hakl, Xingchen Yu
Abstract
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 a new method of construction of strict upper and lower functions. The multiplicity results of Ambrosetti–Prodi type are established using a priori estimates and certain properties of topological degree.
Topics & Concepts
Multiplicity (mathematics)Gravitational singularityMathematicsA priori and a posterioriDifferential equationMathematical analysisPure mathematicsPhilosophyEpistemologyNonlinear Differential Equations AnalysisDifferential Equations and Boundary ProblemsAdvanced Differential Equations and Dynamical Systems