SOME CONTRIBUTIONS TO NONLINEAR SYSTEMS OF FUNCTIONAL INTEGRAL EQUATIONS

Nonlinear evolution equations, i.e., partial differential equations with time t as one of the independent variables, arise not only from many fields of mathematics, but also from other branches of science such as physics, mechanics and material science [40]. For example, Navier-Stokes and Euler equations from fluid mechanics, nonlinear reaction-diffusion equations from heat transfers and biological sci-ences, nonlinear Klein-Gorden equations and nonlinear Schrodinger equations from quantum mechanics and Cahn-Hilliard equations from material science, to name just a few, are special examples of nonlin-ear evolution equations. Complexity of nonlinear evolution equations and challenges in their theoretical study have attracted a lot of inter-est from many mathematicians and scientists in nonlinear sciences. Many such problems in the fields of ordinary and partial differential equations can be recasted as integral and integrodifferential equa-tions. Several existence and uniqueness results can be derived fro