Abstract
In this paper, some fixed-point theorems are established for strongly subadditive maps on CΩ,ϒ (where CΩ,ϒ denotes the space of ϒ-valued continuous functions on a compact Hausdorff space Ω and ϒ is a unital Banach algebra). Finally, the result is applied to prove the existence and uniqueness of a solution for a system of nonlinear integrodifferential equations.
Highlights
Volterra–Fredholm integro differential equations [1,2,3,4,5,6,7,8,9,10] appear in a number of physical models, and an important question is whether these equations can support periodic solutions. is question has been studied extensively by a number of authors; they investigated the existence of solutions for a class of these kinds of equations using Schauder’s fixed-point theorem and Green’s function. e distance between two zeros of nontrivial solutions to integrodifferential equations was estimated by Domoshnitsky [11]
Ezzinbi and Ndambomve [12] considered the control system governed by some partial functional integrodifferential equations with finite delay in Banach spaces
The fixed-point theory is one of the most rapidly growing topics of nonlinear functional analysis. It is a vast and interdisciplinary subject whose study belongs to several mathematical domains such as classical analysis, functional analysis, operator theory, topology, and algebraic topology
Summary
Volterra–Fredholm integro differential equations [1,2,3,4,5,6,7,8,9,10] appear in a number of physical models, and an important question is whether these equations can support periodic solutions. is question has been studied extensively by a number of authors; they investigated the existence of solutions for a class of these kinds of equations using Schauder’s fixed-point theorem and Green’s function. e distance between two zeros of nontrivial solutions to integrodifferential equations was estimated by Domoshnitsky [11]. Is question has been studied extensively by a number of authors; they investigated the existence of solutions for a class of these kinds of equations using Schauder’s fixed-point theorem and Green’s function. The fixed-point theory is one of the most rapidly growing topics of nonlinear functional analysis. It is a vast and interdisciplinary subject whose study belongs to several mathematical domains such as classical analysis, functional analysis, operator theory, topology, and algebraic topology. In our work, using a tool of fixed-point theory, we will ensure the existence and uniqueness of a solution for a system of nonlinear integrodifferential equations. Mathematical Problems in Engineering the existence and uniqueness of solutions for the following system of Volterra–Fredholm type integrodifferential equations:. + h(s, 9, x(9))d9⎤⎦ds, t ∈ J [0, b]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
