In this paper, the fked point theory is used to investigate the existence and uniqueness of solutions of two-point boundary value problems (BVPs) for second order non-linear impulsiveâ€¦ (More)

This paper investigates the extremal solutions of initial value problems for first order integro-differential equations of Volterra type in Banach spaces by means of establishing a comparison result.

In this paper, we combine the fixed point theory, fixed point index theory and cone theory to investigate the nonnegative solutions of two-point BVP for nonlinear second order integrodifferentialâ€¦ (More)

In this paper, we first use the fixed point theory to prove two existence theorems of positive solutions for the mpulsve Fredholm ntegral Equations in Banach spaces. And then, we offer someâ€¦ (More)

In this paper, the cone theory and monotone iterative technique are used to investigate the minimal nonnegative solutions of initial value problems (IVPs) for nth order nonlinear integro-diÂ€erentialâ€¦ (More)

This paper uses cone theory and the monotone iterative technique to investigate the existence of minimal nonnegative solutions of terminal value problems for first order nonlinear impulsiveâ€¦ (More)

ABSTRAC In this paper, we first extend results on the existence of maximal solutions for nonlinear Volterra integral equations in Banach spaces to impulsive Volterra integral equations. Then, we giveâ€¦ (More)

After establishing a comparison result by means of a new method, we obtain the existence of maximal and minimal solutions for nonlinear, second order integro-differential equations of mixed type inâ€¦ (More)