Banach空间非线性混合型微分-积分方程非局部终值问题解的存在性

Abstract

Abstract:

Using M\"{o}nch fixed point theorem, this article proves the existence of solution of nonlocal terminal value problems
for first order nonlinear mixed integro-differential equations in Banach spaces, the restricted conditions on noncompactness measure estimation hasn't used and our result generalizes and improves the corresponding result
of Guo Wei [Guo Wei. A generalization and application of Ascoli--Arzela theorem. Journal of Systems Science and Mathematical Sciences (in Chinese), 2002, 22(1): 115--122].

Key words: Volterra-Fredholm integro-differential equation, Nonlocal terminal value problem, Fixed point, Banach spaces

CLC Number:

34G20

XIE Sheng-Li, GE Ci-Shui. Existence of Solutions of Nonlocal Terminal Value Problems for Nonlinear Mixed Integro-Differential Equations in Banach Spaces[J].Acta mathematica scientia,Series A, 2013, 33(3): 550-560.

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References

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Existence of Solutions of Nonlocal Terminal Value Problems for Nonlinear Mixed Integro-Differential Equations in Banach Spaces

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