An existence theorem for solutions of an integro-differential equation in Banach spaces

Demonstratio mathematica

article

Aldona Dutkiewicz¹ 

[1] Faculty of Mathematics and Computer Science, A. Mickiewicz University

关键词: integro-differential equation;    Cauchy problem;    measure of noncompactness;   

DOI  :  10.1515/dema-2013-0408

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

The paper contains an existence theorem for local solutions of an initial value problem for a nonlinear integro-differential equation in Banach spaces. The assumptions and proofs are expressed in terms of measures of noncompactness.

【 授权许可】

CC BY