Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions

Fixexd point theory and applications

Juan J Trujillo¹  Chokkalingam Ravichandran²  José³  A Machado⁴  Margarita Rivero⁵ 

[1] Departamento de Analisis Matematico, Universidad de La Laguna, La Laguna, Spain;Departamento de MatemáDepartment of Electrical Engineering, Institute of Engineering, Polytechnic Institute of Porto, Porto, Portugal;Department of Mathematics, RVS Faculty of Engineering, RVS Technical Campus, Coimbatore, India;tica Fundamental, Universidad de La Laguna, La Laguna, Spain

关键词: controllability;    impulsive differential equations;    measures of noncompactness;    semigroup theory;    fixed point;   

DOI  :  10.1186/1687-1812-2013-66

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Mönch fixed point theorem via measures of noncompactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. An example is given to illustrate the effectiveness of our results. MSC:93B05, 34A37, 34G20.

【 授权许可】

CC BY