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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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