A Note on the Linear Stability of the Steady State of a Nonlinear Renewal Equation with a Parameter

Suman Kumar Tumuluri ()
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Suman Kumar Tumuluri: University of Hyderabad

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 879-887

Abstract: 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.

Keywords: Existence of steady states; linear stability; nonlinear renewal equation; 35B35; 35L04; 35L60 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0438-0

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