# Periodic solutions for an integral equation from biomathematics via Leray-Schauder principle

## Abstract

The paper deals with periodic solutions for an integral equation from biomathematics, via the Leray-Schauder principle.

The results obtained here refer to the existence, the uniqueness and monotone-iterative approximation of the nontrivial periodic solutions of the integral equation
$x(t)=\int_{-t}^t f(s,x(s))ds$

The proofs are based on the continuation Leray-Schauder principle and on the monotone iterations technique.

## Authors

Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

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## Paper coordinates

R. Precup, Periodic solutions for an integral equation from biomathematics via Leray-Schauder principle, Studia Univ. Babeş-Bolyai Math. 39 (1994) no. 1, 47-58.

## PDF

##### Journal

Studia Universitatis Babes-Bolyai Mathematica

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MR: 98c:45019a.