Infinitely many solutions for higher order impulsive equations without symmetry

Weibing Wang; Yue Liu

doi:10.1216/rmj.2022.52.1473

Abstract

We investigate the existence of multiple solutions of boundary value problems for higher order impulsive equations. By using variational and perturbative methods, we show the existence of infinitely many solutions in the nonsymmetric case.

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Weibing Wang. Yue Liu. "Infinitely many solutions for higher order impulsive equations without symmetry." Rocky Mountain J. Math. 52 (4) 1473 - 1484, August 2022. https://doi.org/10.1216/rmj.2022.52.1473

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Received: 6 August 2021; Revised: 24 October 2021; Accepted: 29 October 2021; Published: August 2022

First available in Project Euclid: 26 September 2022

MathSciNet: MR4489172

zbMATH: 1507.34031

Digital Object Identifier: 10.1216/rmj.2022.52.1473

Subjects:

Primary: 34B15 , 34B37

Keywords: boundary value problems , Impulsive differential equation , infinitely many solutions , perturbative method

Abstract

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