Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness | Chapter 08 | Theory and Applications of Mathematical Science Vol. 2

The aim of this chapter is to present the existence result for solution of nonlinear Volterra-Hammerstein-Fredholm integral equation (in short VHFIE) under some conditions. The main tools are Darbo’s fixed point theorem involving measure of noncompactness for investigating the existence of solution of nonlinear Volterra-Hammerstein-Fredholm integral equation. An application and illustrative example of Volterra-Hammerstein-Fredholm integral equation are also present in this chapter.

Author(s) Details

Mrs. Kavita Sakure
Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, 491441, India.

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