一类非线性泛函积分方程解的存在性Existence of Solutions For a Class of Nonlinear Functional Integral Equations
张峰
摘要(Abstract)：
应用非紧性测度和Darbo不动点定理在更弱的条件下研究一类一般化的非线性泛函积分方程解的存在性,推广了一些现有结果.
关键词(KeyWords)： 非线性泛函积分方程;非紧性测度;Darbo不动点定理;存在性
基金项目(Foundation):
作者(Author): 张峰
DOI: 10.16393/j.cnki.37-1436/z.2016.05.005
参考文献(References)：
- [1]K.Deimling.Nonlinear Functional Analysis[M].Berlin:Springer-Verlag,1985.
- [2]M.A.Abdou.On the solution of linear and nonlinear integral equation[J].Appl.Math.Comput.,2003,146(2):857-871.
- [3]J.Banas,B.Rzepka.On local attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation[J].Appl.Math.Comput.,2009,213(1):102-111.
- [4]K.Maleknejad,K.Nouri,R.Mollapourasl.Investigation on the existence of solutions for some nonlinear functional integral equations[J].Nonlinear Anal.,2009,71(12):e1575-e1578.
- [5]K.Maleknejad,K.Nouri,R.Mollapourasl.Existence of solutions for some nonlinear integral equations[J].Commun.Nonlinear.Sci.Numer.Simulat.,2009,14(6):2559-2564.
- [6]D.Guo,V.Lakshmikantham,X.Z.Liu.Nonlinear Integral Equations in Abstract Spaces[M].Kluwer Academic Pub.,1996.
- [7]J.Banas,K.Goebel.Measures of Noncompactness in Banach Spaces[M].New York,Basel:Marcel Dekker,1980.