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《Acta Analysis Functionalis Applicata》 2013-01
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Existence of Solutions for Integro-differential Equations of Mixed Type in Banach Spaces

ZHOU Wenxue~(1,2),LIU Haizhong~1 1.College of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China 2.School of Mathematical Sciences,Fudan University,Shanghai 200433,China  
The initial value problem of differential equation can be reduced to the equivalent integral equation.Recently,this method is used successfully to discuss the existence of the solution to initial value problem of nonlinear differential equation.Using the fixed point theorem of convexpower condensing operator,we study the existence of solutions to initial value problems for nonlinear second order integro-differential equations of mixed type in Banach spaces.
【Fund】: 国家自然科学基金(11161027 11262009)
【CateGory Index】: O175.5
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1 LU Feng-ling(Department of Mathematics,Shangqiu Teachers College,Shangqiu 476000,China);Perturbation of n-times Countraction Integrated Semigroups[J];Journal of Anhui Normal University(Natural Science);2011-05
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9 QIAN Ai-xia~1,ZHAO Xue-qin~2(1-Department of Mathematics, Qufu Normal University, Qufu Shandong 273165;2-Qufu Normal University-Rizhao Campus, Rizhao Shandong 276826);Existence and Uniqueness of Solution for Nonlinear Integro-Differential Equations in Banach Spaces[J];Chinese Journal of Engineering Mathematics;2003-06
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1 SUN JING-XIAN (Shandong University,Jinan 250100)LIU LI-SHAN (Qufu Normal University,Qufu 273165);MONOTONE ITERATIVE METHOD OF INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES[J];;1993-02
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