Citation: | Chen Fangqi, Chen Yushu. Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(2): 111-118. |
[1] |
Guo Dajun.Impulsive integral equations in Banach spaces and applications[J].J Appl Math Stochastic Anal,1992,5(2):111~122.
|
[2] |
Heinz H P.On the behaviour of measure of noncompactness with respect to differentiation and integration of vector-valued functions[J].Nonlinear Anal TMA,1983,7(2):1351~1371.
|
[3] |
ML nch H.Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces[J].Nonlinear Anal TMA,1980,4(5):985~999.
|
[4] |
Guo Dajun,Extremal solutions of nonlinear Fredholm integral equations in ordered Banach spaces[J].Northeastern Math J,1991,7(4):416~423.
|
[5] |
Anselone P M.Integral equations on the half line[J].J Integral Equation,1985,9(suppl):3~23.
|
[6] |
Guo Dajun.Nonlinear impulsive Volterra integral equations in Banach spaces and applications[J].J Appl Math Stochactic Anal,1993,6(1):35~48.
|
[7] |
Vaughn R.Existence and comparison results for nonlinear Volterra integral equations in Banach spaces[J].Appl Anal,1978,7(2):337~348.
|
[8] |
陈芳启.Banach空间非线性方程的解[D].博士论文.济南:山东大学,1998.
|
[9] |
Chen Fangqi.Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces[J].Appl Math J Chinese University,1997,12B(3):299~306.
|
[10] |
Deimling K.Nonlinear Functional Analysis[M].Berlin:Springer-Verlag,1985.
|
[1] | Abdlkrim Aliouche, Brian Fisher. Fixed Point Theorems for Mappings Satisfying an Implicit Relation on Two Complete and Compact Metric Spaces[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1065-1070. |
[2] | CHEN Fang-qi, TIAN Rui-lan, CHEN Yu-shu. Solutions for Second Order Impulsive Integro-Differential Equation on Unbounded Domains in Banach Spaces[J]. Applied Mathematics and Mechanics, 2006, 27(6): 637-645. |
[3] | Amitabh Banerjee, Thakur Balwant Singh. A Fixed Point Theorem for Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1255-1261. |
[4] | YUN Tian-quan. Fixed Point Theorem of Composition g-Contraction Mapping and Its Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1022-1028. |
[5] | Sun Qinfu, Luan Shixia. The Initial Value Problems of First Order Impulsive Differential Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, (1): 30-38. |
[6] | Zhang Shisheng, Zhang Xian. A Generalization of Browder’s Fixed Point Theorem With Applications[J]. Applied Mathematics and Mechanics, 1999, 20(9): 881-888. |
[7] | Hong Shihuang, Hu Shigeng. Existence and Uniqueness of Solutions for Initial Value Problems of Second Order Ordinary Differential Equations in Banach Space[J]. Applied Mathematics and Mechanics, 1999, 20(3): 277-285. |
[8] | Zhang Shisheng, Zhang Ying, Yuan Jiawei. Fixed Point Theorems for Fuzzy Mappings in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1051-1058. |
[9] | Wang Zhihua, Zhang Fengxiang. Two Points Boundary Value Problems in Banach Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(3): 265-269. |
[10] | Zhu Chuan-xi. Some NeW Fixed point Theorems in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1995, 16(2): 165-171. |
[11] | Dong Yu-jun, Zou Er-xin. An Application of Schauder’s Fxed Point Theorem to the Existence of Solutions of Impulsively Differential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(4): 353-357. |
[12] | Liu Li-shan. Common Fixed Point Theorems for(sub) Compatible and Set-Valued Generalized Nonexpansive Mappings in Complete Convex Metric Spaces[J]. Applied Mathematics and Mechanics, 1993, 14(7): 651-658. |
[13] | Ma Yi-hai, Zhang Fu-bao. Generalized Minimax Inequalities and Fixed Point Theorems[J]. Applied Mathematics and Mechanics, 1991, 12(5): 465-472. |
[14] | Fang Jin-xuan. Fixed Point Theorems of Local Contraction Mappings on Menger Spaces[J]. Applied Mathematics and Mechanics, 1991, 12(4): 339-347. |
[15] | Zhang Shi-sheng, Chen Yu-qing. Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems[J]. Applied Mathematics and Mechanics, 1990, 11(5): 409-421. |
[16] | Ding Xie-ping. Random Common Fixed Point Theorems of Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 1986, 7(1): 37-42. |
[17] | Zhang Shi-sheng. Fixed Point Theorems for Fuzzy Mapping(Ⅱ)[J]. Applied Mathematics and Mechanics, 1986, 7(2): 133-138. |
[18] | Zhang Shi-sheng. Fixed Point Theorem in Probabilistic Inner Product Spaces[J]. Applied Mathematics and Mechanics, 1985, 6(1): 67-74. |
[19] | Ding Xie-ping. General Random Fixed Point Theorem and Its Applications[J]. Applied Mathematics and Mechanics, 1984, 5(5): 699-708. |
[20] | Chang Stuh-sen. Fixed Point Theorems for Fuzzy Mappings[J]. Applied Mathematics and Mechanics, 1984, 5(2): 297-304. |