Banach空间非线性脉冲Fredholm型积分方程的耦合极值拟解

In recent years, the research in integral equations in Banach spaces has achieved many results (refer to ［1］, ［2］, ［3］ etc.). It is well known that, generally, one must first establish the comparison theorem before applying the method of (coupled) lower and upper (quasi)solutions to investigate the (quasi)solutions of integral equations. This can be easily done for Volterra integral equations, but seems impossible for the cases of Fredholm type. Though ［3］ avoided the establishment of…

Coupled Extremal Quasi-solutions to Nonlinear Impulsive Fredholm Integral Equations in Banach Spaces

By means of the method of coupled lower and upper quasi-solutions, the paper applies, instead of establishing the comparison theorem, a new iterative technique to nonlinear impulsive Fredholm integral equations in Banach spaces and proves the existence theorem on their coupled extremal quasi-solutions. Finally. an infinite system of nonlinear impulsive integral equations is provided to demonstrate the obtained results.