Analytical and Numerical Approaches via Quadratic Integral Equations
Jihan Alahmadi,
Mohamed A. Abdou,
Mohamed A. Abdel-Aty
Abstract:A quadratic integral Equation (QIE) of the second kind with continuous kernels is solved in the space C([0,T]×[0,T]). The existence of at least one solution to the QIE is discussed in this article. Our evidence depends on a suitable combination of the measures of the noncompactness approach and the fixed-point principle of Darbo. The quadratic integral equation can be used to derive a system of integral equations of the second kind using the quadrature method. With the aid of two different polynomials, Laguerr… Show more
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