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ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 被引量:3
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作者 陈芳启 陈予恕 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第5期509-518,共10页
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
关键词 integro-differential equations kuratowski measure of noncompactness coupled lower and upper quasisolutions monotone iterative method
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THE EXISTENCE OF SOLUTIONS OF NONLINEARFREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES 被引量:3
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作者 闫宝强 史国良 《Acta Mathematica Scientia》 SCIE CSCD 1998年第S1期114-119,共6页
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.
关键词 Fredholm equation kuratowski measure of noncompactness locally equicontinuous set
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L_(loc)~p-solutions of Nonlinear Impulsive Volterra Integral Equation in Abstract Space
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作者 WANG Ru-zhi 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期61-68,共8页
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.
关键词 Fr’echet space kuratowski’s measures of noncompactness Llocp-solutions impulsive Volterra integral equation
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EXTREME SOLUTIONS OF INITIAL VALUE PROBLEMS FOR NONLINEAR SECOND ORDER INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES 被引量:5
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作者 陈芳启 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第3期289-295,共7页
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
关键词 Iategrodifferential equations kuratowski measure of noncompactness lower and upper solutions monotone iterative method
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