Author

Mary E. Parrott

Observed names: M. E. Parrott, M. Parrott, M.E Parrott, M.E. Parrott, Mary E Parrott, Parrott, M. E., Parrott, Mary E.

Observed institutions: Vanderbilt University, University of South Florida, University of Houston, Texas A&M University

OpenAlex ID: A5086385097

Diffusion epidemic models with incubation and crisscross dynamics

1995 · W.E. Fitzgibbon, M.E. Parrott, et al. · Mathematical Biosciences · 46

Linearized Stability and Irreducibility for a Functional Differential Equation

1992 · Mary E. Parrott · SIAM Journal on Mathematical Analysis · 31

A Method of Lines for a Nonlinear Abstract Functional Evolution Equation

1984 · A. G. Kartsatos, M. E. Parrott · Transactions of the American Mathematical Society · 31

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The weak solution of a functional differential equation in a general Banach space

1988 · Athanassios G Kartsatos, Mary E Parrott · Journal of Differential Equations · 30

Diffusive epidemic models with spatial and age dependent heterogeneity

1995 · W. E. Fitzgibbon, M.E. Parrott, et al. · Discrete and Continuous Dynamical Systems · 24

Almost periodic solutions of evolution equations

1989 · Michael E Ballotti, Jerome A Goldstein, et al. · Journal of Mathematical Analysis and Applications · 21

Convergence of the Kato approximants for evolution equations involving functional perturbations

1983 · A.G Kartsatos, M.E Parrott · Journal of Differential Equations · 19

Existence of solutions and Galerkin approximations for nonlinear functional evolution equations

1982 · Athanassios G. Kartsatos, Mary E. Parrott · Tohoku Mathematical Journal · 18

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A diffusive age-structured SEIRS epidemic model

1996 · W. E. Fitzgibbon, M. E. Parrott, et al. · Methods and Applications of Analysis · 17

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Positivity and a principle of linearized stability for delay-differential equations

1989 · Mary E. Parrott · Differential and Integral Equations · 16

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Global Solutions of Functional Evolution Equations Involving Locally Defined Lipschitzian Perturbations

1983 · A. G. Kartsatos, M. E. Parrott · Journal of the London Mathematical Society · 16

A diffusive system with age dependency modeling fiv

1995 · W.E. Fitzgibbon, M. Langlais, et al. · Nonlinear Analysis · 14

Representation and approximation of generalized solutions of a nonlinear functional differential equation

1982 · M.E. Parrott · Nonlinear Analysis · 14

Convergence of solutions of infinite delay differential equations with an underlying space of continuous functions

1981 · M. Parrott · Lecture notes in mathematics · 11

Finite Dimensionality and Upper Semicontinuity of the Global Attractor of Singularly Perturbed Hodgkin–Huxley Systems

1996 · W.E. Fitzgibbon, M.E. Parrott, et al. · Journal of Differential Equations · 10

The limiting behavior of solutions of infinite delay differential equations

1982 · Mary E Parrott · Journal of Mathematical Analysis and Applications · 9

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Convergence of singularly perturbed Hodgkin-Huxley systems

1994 · W.E. Fitzgibbon, M.E. Parrott · Nonlinear Analysis · 8

Functional evolution equations involving time dependent maximal monotone operators in Banach spaces

1984 · A.G. Kartsatos, M.E. Parrott · Nonlinear Analysis · 8

Convergence of singular perturbations of strongly damped nonlinear wave equations

1997 · W.E. Fitzgibbon, M.E. Parrott · Nonlinear Analysis · 5

Linearized stability of semilinear delay equations in fractional power spaces

1991 · William E. Fitzgibbon, Mary E. Parrott · Nonlinear Analysis · 4

Global Dynamics of Singularly Perturbed Hodgkin-Huxley Equations

1993 · W. Fitzgibbon, M. Parrott, et al. · Springer eBooks · 3

A simplified approach to the existence and stability problem of a functional evolution equation in a general Banach space

1984 · A. G. Kartsatos, M. E. Parrott · Lecture notes in mathematics · 3

Bounded perturbations with multiple delays of forced harmonic oscillators at resonance

1992 · R. Kent Nagle, Mary E. Parrott · Differential and Integral Equations · 2

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Periodicity in diffusive age-structured SEIR models

1998 · William E. Fitzgibbon, Jeff Morgan, et al. · Methods and Applications of Analysis · 1

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Using fixed point theory to find the weak solutions of an abstract functional-differential equation

1988 · A. G. Kartsatos, M. E. Parrott · Contemporary mathematics - American Mathematical Society · 1

Works count: 28

Citation count: 362

H-index: 13

I10-index: 15