CHEN Fang-qi;CHEN Yu-shu . GLOBAL SOLUTIONS OF SYSTEMS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES. Applied Mathematics and Mechanics (English Edition), 2001, 22(6): 619-629.
[1] Lakshimikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations [M].Singapore: World Scientific, 1989. [2] GUO Da-jun. Nonlinear impulsive Volterra integral equations in Banach spaces and applications [J]. J Appl Math Stochastic Anal, 1993,6(1): 35-48. [3] GUO Da-jun, Lakshimikantham V. Nonlinear Problems in Abstract Cones[M]. Boston and New York: Academic Press Inc, 1988. [4] GUO Da-jun. Impulsive integral equations in Banach spaces and applications[J]. J Appl Math Stochastic Anal, 1992,5(2): 111-122. [5] Martin R H. Nonlinear Operators and Differential Equations in Banach Space[M]. New York: J Wiley and Sons, 1976. [6] Heinz H P. On the behaviour of measure of noncompactness with respect to differentiation and integration of vector-valued functions[J]. Nonlinear Anal, 1983,7(12): 1351-1371. [7] GUO Da-jun. Extremal solutions of nonlinear Fredholm integral equations in Banach spaces[J].Northeastern Math J, 1991,7(4):416-423. [8] Vaughn R L. Existence and comparison results for nonlinear Volterra integral equations in a Banach space[J]. Appl Anal, 1978,7(2):337-348. [9] CHEN Fang-qi. Existence of solutions for mixed monotone impulsive Volterra integral equations in Banach spaces[J]. Acta Math Scientia, 1998,18(4):371-378. [10] CHEN Fang-qi. Existence of solutions for mixed monotone impulsive integrodifferential equations in Banach spaces[J]. J Sys Sci & Math Scis, 1999,19(1): 111-115. (in Chinese) [11] Deimling K. Nonlinear Functional Analysis [M]. Berlin: Springer-Verlag, 1985.
Email Alert
RSS