Solutions for singular Volterra integral equations.
Solvability of an Infinite System of Singular Integral Equations
2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders.
Some fixed point theorems on ordered metric spaces and application.
Some stability and boundedness criteria for a class of Volterra integro-differential systems.
Systems of nonlinear delay integral equations modelling population growth in a periodic environment
In this paper we study the existence and uniqueness of positive and periodic solutions of nonlinear delay integral systems of the type