A Note on the Linear Stability of the Steady State of a Nonlinear Renewal Equation with a Parameter
A Note on the Linear Stability of the Steady State of a Nonlinear Renewal Equation with a Parameter
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Date
2020-09-01
Authors
Tumuluri, Suman Kumar
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Abstract
In this article we consider a variant of age-structured nonlinear Lebowitz-Rubinow equation. We study the linear stability of this equation near the nontrivial steady state by analyzing the corresponding characteristic equation. In particular, we provide some sufficient conditions under which the nonzero steady state is linearly stable.
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Keywords
Existence of steady states,
linear stability,
nonlinear renewal equation
Citation
Indian Journal of Pure and Applied Mathematics. v.51(3)