Infinitely Many Solutions for Second-Order Quasilinear Periodic Boundary Value Problems with Impulsive Effects

Shen, Tengfei; Liu, Wenbin

doi:10.1007/s00009-017-0931-9

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2024

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Cited by 3 publications

(2 citation statements)

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“…Author details 1 Department of Health Statistics, Xuzhou Medical University, Xuzhou, Jiangsu, 221004, P.R. China.…”

Section: Availability Of Data and Materialsmentioning

confidence: 99%

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Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses

Shen

2022

Bound Value Probl

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This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure and overcoming the difficulties brought by the influence of impulsive effects, some new results are acquired via the symmetry mountain-pass theorem, which extend and enrich some previous results.

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“…Author details 1 Department of Health Statistics, Xuzhou Medical University, Xuzhou, Jiangsu, 221004, P.R. China.…”

Section: Availability Of Data and Materialsmentioning

confidence: 99%

“…which plays an important role in some research fields of physics (see [1,2] and the references therein). An interesting question as to whether the existence or multiplicity of solutions to this fractional quasilinear differential model with suitable boundary conditions generated by impulsive effects can be obtained naturally comes to mind.…”

Section: Introductionmentioning

confidence: 99%

Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses

Shen

2022

Bound Value Probl

Self Cite

View full text Add to dashboard Cite

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Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem

Ferrara,

Heidarkhani,

Moradi

et al. 2024

Mediterr. J. Math.

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Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects

Graef,

Heidarkhani,

Kong

et al. 2024

Electron. J. Qual. Theory Differ. Equ.

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The authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence of at least three solutions to the problem. The applicability of the results is illustrated with an example.

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Infinitely Many Solutions for Second-Order Quasilinear Periodic Boundary Value Problems with Impulsive Effects

Cited by 3 publications

References 15 publications

Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses

Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses

Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem

Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects

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