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. View full book: http://bp.bookpi.org/index.php/bpi/catalog/book/140