2 citations · 4 across the 21 of their papers we have counts for
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Global solution curves for first order periodic problems, with applications
Philip Korman, Dieter S. Schmidt
Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. T…
Nonlinear oscillators at resonance with periodic forcing
Philip Korman, Yi Li
In this note we unify the results of A.C. Lazer and P.O. Frederickson [3], A.C. Lazer [6], A.C. Lazer and D.E. Leach [7], J.M. Alonso and R. Ortega [1], and P. Korman and Y. Li [4]…
Unbounded solutions of periodic systems
Philip Korman
This paper deals with various cases of resonance, which is a fundamental concept of science and engineering. Specifically, we study the connections between periodic and unbounded s…
On the interaction of species capable of explosive growth
Philip Korman
In the classical Lotka-Volterra population models, the interacting species affect each other's growth rate. We propose an alternative model, in which the species affect each other…
A periodic model for the dynamics of cell volume
Philip Korman
We prove the existence and uniqueness of positive periodic solution for a model describing the dynamics of cell volume flux, introduced in Julio A. Hernandez \cite{H}. We also show…