Using the monotone iterative method and Monch Fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differenti...Using the monotone iterative method and Monch Fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differential equations in Banach spaces are studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.展开更多
This paper improves Tychonov ford point theorem and discusses the existence of solutions of nonlinear Fredholm integral equations on [0,+∞] in Banach spaces with Frechet space theory.
In this paper,we discuss Llocp-solutions of a kind of nonlinear impulsive Volterra integral equation and present an existence theorem of solutions in Banach space.
In this paper, using the monotone iterative method, we study the existence of extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces. Some existence theor...In this paper, using the monotone iterative method, we study the existence of extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces. Some existence theorems of extreme solations are obtained.展开更多
文摘Using the monotone iterative method and Monch Fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differential equations in Banach spaces are studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.
文摘This paper improves Tychonov ford point theorem and discusses the existence of solutions of nonlinear Fredholm integral equations on [0,+∞] in Banach spaces with Frechet space theory.
文摘In this paper,we discuss Llocp-solutions of a kind of nonlinear impulsive Volterra integral equation and present an existence theorem of solutions in Banach space.
基金the National Natural Science Foundation of China and the State EducationCommission Doctoral Foundation of China.
文摘In this paper, using the monotone iterative method, we study the existence of extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces. Some existence theorems of extreme solations are obtained.