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GLOBAL EXISTENCE OF SOLUTION TO NONLINEAR INTEGRODIFFERENTIAL EQUATION IN A BANACH SPACE 被引量:2

GLOBAL EXISTENCE OF SOLUTION TO NONLINEAR INTEGRODIFFERENTIAL EQUATION IN A BANACH SPACE
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摘要 Using Daher's fixed point theorem, we obtain a local existence theorem, in which the assumption is weaker than That in the Theorem 2.1 in [2]. Based on this theorem, we get a global existence theorem which is an extension of certain results for ordinary differential equations. Using Daher's fixed point theorem, we obtain a local existence theorem, in which the assumption is weaker than That in the Theorem 2.1 in [2]. Based on this theorem, we get a global existence theorem which is an extension of certain results for ordinary differential equations.
作者 庄万 于洪义
机构地区 Dept. of Math.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1989年第4期367-372,共6页 数学物理学报(B辑英文版)
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  • 1刘立山.Banach空间非线性混合型微分-积分方程的解[J].数学学报(中文版),1995,38(6):721-731. 被引量:44
  • 2郭大钧.非线性分析中的半序方法[M].济南:山东科技出版社,2000..
  • 3E, Liz, J J Nieto. Periodic boundary value problem for integro-differential equations with general kernel[J]. Dynamic Systems and Applications, 1994, (3) :297 ~ 304.
  • 4Deimling K. Nonlinear function analysis[M]. Berlin Spring-verlag, 1985.

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