Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra
The paper is devoted to prove the existence of solutions for an infinite system of nonlinear
quadratic integral equations. This system is investigated in the WC–Banach algebra C_0= C
(I, c_0) C 0= C (I, c 0), consisting of all continuous functions acting from an interval I into the
sequence space c_0 c 0. The assumptions imposed on the operators involving the system
are formulated in terms of a generalized Lipschitz continuity.
quadratic integral equations. This system is investigated in the WC–Banach algebra C_0= C
(I, c_0) C 0= C (I, c 0), consisting of all continuous functions acting from an interval I into the
sequence space c_0 c 0. The assumptions imposed on the operators involving the system
are formulated in terms of a generalized Lipschitz continuity.
Abstract
The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quadratic integral equations. This system is investigated in the WC–Banach algebra , consisting of all continuous functions acting from an interval I into the sequence space . The assumptions imposed on the operators involving the system are formulated in terms of a generalized Lipschitz continuity.
Springer
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