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2021•Proceedings of the Royal Society of Edinburgh Section A MathematicsRequires access

Existence and multiplicity of periodic solutions to differential equations with attractive singularities

José Godoy, Robert Hakl, Xingchen Yu

Open publisher page 14 citations

Abstract

The existence and multiplicity ofT-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 usinga prioriestimates and certain properties of topological degree.

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What this paper is about

The existence and multiplicity ofT-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 usinga prioriestimates and certain properties of topological degree.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The existence and multiplicity ofT-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 usinga prioriestimates and certain properties of topological degree.

Key concepts: Multiplicity (mathematics), Gravitational singularity, Mathematics, A priori and a posteriori, Differential equation, Mathematical analysis, Pure mathematics, Philosophy

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