Positive solutions of a nonlinear integral equation from biomathematics

• Autorzy: Trif T.
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is to investigate the existence of positive continuous solutions of the nonlinear integral equation x(t) = St-r f(s, x(s))ds, arising in infectious diseases. We give sufficient conditions ensuring the existence of positive periodic continuous solutions of this equation, provided that f is a continuous function periodic in the first argument. We also study the existence of positive continuous solutions of the initial value problem for the considered equation.

Słowa kluczowe

EN

positive solution; nonlinear integral equation; biomathematics

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 1
• Strony: 129--138
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Trif T.