Second‐order differential equations for the power converters dynamical performance analysis. (22nd February 2022)

• Record Type: Journal Article
• Authors: Amoroso, Eleonora; Bonanno, Gabriele; D'Aguí, Giuseppina; De Caro, Salvatore; Foti, Salvatore; O'Regan, Donal; Testa, Antonio
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 9(2022)
• Page Start: 5573
• Page End: 5591
• Publication Date: 2022-02-22
• Subjects: boundary value problems -- critical point theory -- nonlinear differential problems -- ordinary differential equations -- power converters analysis; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8127
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The paper is devoted to the study of a second‐order differential equation of type Sturm‐Liouville with coefficients sign changing, and the existence of one positive solution is obtained by requiring a specific growth of the nonlinearity. In particular, this study is useful in the analysis of the dynamical performance of a class of power converter.