| CAUCHY PROBLEM FOR A NONLINEAR SINGULAR INTEGRAL-DIFFERENTIAL EVOLUTION SYSTEM |
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| 作者姓名： | ZHANGLINGHAI |
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| 作者单位： | Inst.of Appl.Phys.and Comp.Math.，Beijing 100088 |
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| 摘 要： | We study the Cauchy problem for a nonlinear evolution system with singularintegral differential terms, By means of some a priori estimates of the solution and the Leray-Schander‘s fixed point theorem, we prove the existence and the uniqueness theorems of the generalized global solution of the mentioned problem.
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| 关 键 词： | 非线性进化系统 奇异积分微分 发展方程组 Cauehy问题 积分估计 |
| 收稿时间： | 2 January 1992 |
Cauchy problem for a nonlinear singular integral-differential evolution system |
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| ZHANGLINGHAI.CAUCHY PROBLEM FOR A NONLINEAR SINGULAR INTEGRAL-DIFFERENTIAL EVOLUTION SYSTEM[J].Applied Mathematics A Journal of Chinese Universities,1994,9(1):45-53. |
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| Authors: | Zhang Linghai |
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| Institution: | (1) Inst. of Appl. Phys. and Comp. Math., 100088 Beijing |
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| Abstract: | We study the Cauchy problem for a nonlinear evolution system with singularintegral differential terms.By means of some a priori estimates of the solution and theLeray-Schauder's fixed point theorem, we prove the existence and the uniqueness theoremsof the generalized global solution of the mentioned problem. |
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| Keywords: | Cauchy Problem Nonlinear Evolution System Singular integral-differentialTerm Integral Estimate |
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