PBVP of volterra integro-differential equations
- 1 July 1986
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 22 (2) , 133-137
- https://doi.org/10.1080/00036818608839611
Abstract
Periodic boundary value problems (PBVP) are studied for the integro-differential equatior x′ = f(t,x(t),Tx),x(O)=x(1), where Tx is the integral term. An existence theorem for such a problem is established without monotonic assumptions on f. This is achieved by considering a Nagumo -like condition on the second variable of f and upper-lower-likely solutions for the problem.Keywords
This publication has 1 reference indexed in Scilit:
- Periodic solutions of nonlinear second order differential equationsMathematische Zeitschrift, 1967