Jessica Stewart Kelly

Associate Professor

Christopher Newport University

Affiliations

Mathematics

Jessica Stewart Kelly is currently serving as a Mathematics Associate Professor at Christopher Newport University.

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Jessica Stewart Kelly

Christopher Newport University

Associate Professor

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applied mathematics nonlinear analysis spectral theory mathematics dynamical systems abstract and applied analysis differential equations boundary value problems lyapunov analysis variational inequalities moment representations mathematical analysis nonlinear systems stability number theory representation theory fractional calculus mathematical sciences fractional-order systems fractional dynamic lie algebra orthogonal polynomials nonlinear functional analysis lower bounds singularly perturbed problem spectral analysis function approach fractional lyapunov-type inequalities non green half-linear difference equations lyapunov-type inequalities self-adjoint extensions

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Spectrum of Self-Adjoint Extensions Associated With Exceptional Laguerre Differential Expressions. Journal of Spectral Theory (2023)

Dale FrymarkJessica Stewart Kelly

self-adjoint extensionsspectral theoryspectral analysisapplied mathematics

Lower Bounds for Eigenvalues of Even Ordered Quasilinear Differential Equations. Proceedings of the American Mathematical Society (2022)

partial differential equationsnonlinear functional analysislower boundsfunctional analysisordinary differential equationssingularly perturbed problemabstract and applied analysisspectral theoryboundary value problemsapplied mathematicsnumerical analysisnonlinear analysisdifferential equations

Lyapunov-Type Inequalities for Third-Order Linear and Half-Linear Difference Equations and Extensions. The Journal of Difference Equations and Applications (2021)

lyapunov analysishalf-linear difference equationsnonlinear systemsstabilitydynamical systemslyapunov-type inequalitiesboundary value problemsapplied mathematicsnonlinear analysisvariational inequalities

A Non Green's Function Approach to Fractional Lyapunov-Type Inequalities With Applications to Multivariate Domains. Differential Equations & Applications (2019)

lyapunov analysisfractional calculusfunction approachabstract and applied analysisfractional-order systemsdynamical systemsfractional dynamicfractional lyapunov-type inequalitiesnon greenapplied mathematicsnonlinear analysisvariational inequalitiesdifferential equations

Moment Representations of Exceptional X1 Orthogonal Polynomials. Journal of Mathematical Analysis and Applications (2017)

Jessica Stewart KellyConstanze LiawJohn Osborn

mathematical analysismathematicsmoment representationsapplied mathematics

Moment Representations of Type I X2 Exceptional Laguerre Polynomials. arXiv (Cornell University) (2017)

moment representationsspectral theorynumber theorylie algebraorthogonal polynomialsmathematical sciencesmathematicsrepresentation theory