Positive solutions of a renewal equation

@article{JanuszTraple1992,
abstract = {An existence theorem is proved for the scalar convolution type integral equation $x(t) = ∫_\{-∞\}^\{∞\} h(t - s)f(s,x(s))ds$.},
author = {Janusz Traple},
journal = {Annales Polonici Mathematici},
keywords = {integral equations; convolution; renewal integral equations; positive solutions; convolution type integral equation; population dynamics; positive periodic solution; convolution inequalities},
language = {eng},
number = {1},
pages = {91-97},
title = {Positive solutions of a renewal equation},
url = {http://eudml.org/doc/262384},
volume = {57},
year = {1992},
}

TY - JOUR
AU - Janusz Traple
TI - Positive solutions of a renewal equation
JO - Annales Polonici Mathematici
PY - 1992
VL - 57
IS - 1
SP - 91
EP - 97
AB - An existence theorem is proved for the scalar convolution type integral equation $x(t) = ∫_{-∞}^{∞} h(t - s)f(s,x(s))ds$.
LA - eng
KW - integral equations; convolution; renewal integral equations; positive solutions; convolution type integral equation; population dynamics; positive periodic solution; convolution inequalities
UR - http://eudml.org/doc/262384
ER -

References

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[1] K. L. Cooke and J. L. Kaplan, A periodicity threshold theorem for epidemics and population growth, Math. Biosci. 31 (1976), 87-104. Zbl0341.92012
[2] P. Kasprowski, On positive solutions of nonlinear convolution equations, unpublished paper. Zbl0547.28010
[3] W. P. London and J. A. Yorke, Recurrent outbreaks of measles, chickenpox and mumps. II. Systematic differences in contact rates and stochastic effects, Amer. J. Epidemiol. 98 (1973), 469-482.
[4] K. E. Swick, A model of single species population growth, SIAM J. Math. Anal. 7 (1976), 565-576. Zbl0343.92011

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