Eric R. Kaufmann
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University Professor and Undergraduate Director
Also affiliated: University of North Carolina Wilmington (1995–1998); Auburn University (1994)
Research Areas
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Biography and Research Information
OverviewAI-generated summary
Eric R. Kaufmann's research focuses on the theoretical aspects of differential equations, particularly those involving boundary value problems and dynamical systems. He has investigated the existence and multiplicity of positive solutions for nonlinear fractional differential equations and higher-order boundary value problems. His work also extends to neutral nonlinear dynamical equations on time scales, including studies on periodic solutions and stability. Kaufmann has explored problems with singularities and impulsive effects, contributing to the understanding of complex mathematical models. His scholarly output includes 41 publications with 833 citations and an h-index of 12. He has collaborated with Nickolai Kosmatov on shared publications.
Metrics
- h-index: 12
- Publications: 36
- Citations: 774
Positions
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University Professor and Undergraduate Director publications 1997–2026University of Arkansas at Little Rock Institution web page
Selected Publications
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A model of an online social network (OSN) (2026)
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Solutions of second order iterative boundary value problems with nonhomogeneous boundary conditions (2025)
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Existence and uniqueness of solutions of a fourth-order boundary value problem with non-homogeneous boundary conditions (2023)
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Existence and uniqueness of solutions for a second-order iterative boundary-value problem (2018)
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A third order nonlocal boundary value problem at resonance (2009)
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Impulsive Periodic Boundary Value Problems for Dynamic Equations on Time Scale (2009)
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A second-order boundary value problem with impulsive effects on an unbounded domain (2007)
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Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness (2006)
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Elastic beam problem with higher order derivatives (2006)
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Periodic solutions for a neutral nonlinear dynamical equation on a time scale (2006)
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Positive solutions for a nonlinear functional dynamic equation on a time scale (2005)
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Eigenvalue problems for a three-point boundary-value problem on a time scale (2004)
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A second-order singular boundary value problem (2004)
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A multiplicity result for a boundary value problem with infinitely many singularities (2002)
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Multiple positive solutions for difference equations (1997)
Collaboration Network
Top Collaborators
- A multiplicity result for a boundary value problem with infinitely many singularities
- A second-order boundary value problem with impulsive effects on an unbounded domain
- Elastic beam problem with higher order derivatives
- A second-order singular boundary value problem
- Solutions of second order iterative boundary value problems with nonhomogeneous boundary conditions
- Periodic solutions for a neutral nonlinear dynamical equation on a time scale
- A second-order boundary value problem with impulsive effects on an unbounded domain
- Positive solutions for a nonlinear functional dynamic equation on a time scale
- Eigenvalue problems for a three-point boundary-value problem on a time scale
- Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness
- Multiple positive solutions for difference equations
- Multiple positive solutions for difference equations
- Existence and uniqueness of solutions of a fourth-order boundary value problem with non-homogeneous boundary conditions
- A model of an online social network (OSN)
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