Positive solutions of a renewal equation

• Autorzy: Janusz Traple
• Języki publikacji: EN

Abstrakty

EN

An existence theorem is proved for the scalar convolution type integral equation $x(t) = ∫_{-∞}^{∞} h(t - s)f(s,x(s))ds$.

Słowa kluczowe

EN

integral equations; convolution

Kategorie tematyczne

• 92D25: Population dynamics (general)
• 45M20: Positive solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 1
• Strony: 91-97

Daty

wydano

1992

otrzymano

1991-12-15

Twórcy

autor

Janusz Traple

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

Bibliografia

• [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• [2] P. Kasprowski, On positive solutions of nonlinear convolution equations, unpublished paper.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.