| SOLUTIONS FOR A SYSTEM OF NONLINEAR RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS |
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| 引用本文： | 丁协平,王凡. SOLUTIONS FOR A SYSTEM OF NONLINEAR RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS[J]. 应用数学和力学(英文版), 1996, 17(6): 495-506. DOI: 10.1007/BF00119746 |
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| 作者姓名： | 丁协平 王凡 |
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| 作者单位： | Department of Mathematics，Sichuan Normal University，Chengdu 610066，P. R. China;Department of Mathematics，Nantong Teacher's College，Nantong 226007，P. R. China |
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| 摘 要： | ＳＯＬＵＴＩＯＮＳＦＯＲＡＳＹＳＴＥＭＯＦＮＯＮＬＩＮＥＡＲＲＡＮＤＯＭＩＮＴＥＧＲＡＬＡＮＤＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＤｉｎｇＸｉｅｐｉｎｇ（丁协平）ＷａｎｇＦａｎ（王凡）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｓｉｃｈ...
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| 收稿时间： | 1995-02-27 |
Solutions for a system of nonlinear random integral and differential equations |
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| Ding Xieping,Wang Fan. Solutions for a system of nonlinear random integral and differential equations[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(6): 495-506. DOI: 10.1007/BF00119746 |
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| Authors: | Ding Xieping Wang Fan |
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| Affiliation: | (1) Department of Mathematics, Sichuan Normal University, 610066 Chengdu, P. R. China;(2) Department of Mathematics, Nantong Teacher's College, 226007 Nantong, P. R. China |
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| Abstract: | In this paper we first prove a Darbao type fixed point theorem for a system of continuous random operators with random domains. Thenb, by using the theorem. wegive the existence criteria of solutions for a systems of nonlinear random Volterraintegral equations and for the Cauchy problem of a system of nonlinear random differential equations. The existence of extremal random solutions and random comparison results for these systems of random equations are also obtained Our theorems improve and generalize the corresponding results of Vaughn Lakshmikantham Lakshmidantham-Leela De blasi-Myjak and Ding |
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| Keywords: | non linear Integral equatlons. ril ndom Voltcrra in tcgral equations.random Cauchy problen2. extremal random solLltion. comparisonresult |
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