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

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 no...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2020-09, Vol.51 (3), p.879-887
1. Verfasser: Tumuluri, Suman Kumar
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Eigenvalues
Eigenvectors
Mathematics
Mathematics and Statistics
Numerical Analysis
Stability analysis
Steady state
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Zusammenfassung: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-020-0438-0