ArticleOriginal scientific text

Title

Positive solutions of a renewal equation

Authors 1

Affiliations

  1. Institute of Informatics, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

Abstract

An existence theorem is proved for the scalar convolution type integral equation x(t)=-h(t-s)f(s,x(s))ds.

Keywords

integral equations, convolution

Bibliography

  1. K. L. Cooke and J. L. Kaplan, A periodicity threshold theorem for epidemics and population growth, Math. Biosci. 31 (1976), 87-104.
  2. P. Kasprowski, On positive solutions of nonlinear convolution equations, unpublished paper.
  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.
Pages:
91-97
Main language of publication
English
Received
1991-12-15
Published
1992
Exact and natural sciences