An Application to the Existence of Solutions of the Integral Equations

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:1
An Application to the Existence of Solutions of the Integral Equations

An Application to the Existence of Solutions of the Integral Equations

Pages : 115-121

View : 12 | Download : 5

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :Integral equations provide mathematical models of many important problems in the physical sciences and engineering. This paper treats one class of such equations, concentrating on methods involving the use of classical fixed point theorem. The study of integral equations in connection with nonlinear equations has a long history, during which a variety of approaches has emerged. Here, we effectively use a strategy that derives key properties of the solvability of integral equations from previously established results in Hölder spaces. Moreover, our approach leads to solvability of the Fredholm integral equations.
Keywords : Hölder condition, Fredholm Integral Equations, Schauder fixed point theorem

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