Differential and Integral Equations
- Differential Integral Equations
- Volume 21, Number 5-6 (2008), 513-540.
Existence and controllability results for non-densely defined impulsive semilinear functional differential equations
In this paper, we shall establish sufficient conditions for the existence of integral solutions and extremal integral solutions for some non-densely defined impulsive semilinear functional differential equations in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators. The question of controllability of these equations are also considered.
Differential Integral Equations, Volume 21, Number 5-6 (2008), 513-540.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx]
Secondary: 34K35: Control problems [See also 49J21, 49K21, 93C23] 34K45: Equations with impulses 93B05: Controllability
Abada, Nadjet; Benchohra, Mouffak; Hammouche, Hadda. Existence and controllability results for non-densely defined impulsive semilinear functional differential equations. Differential Integral Equations 21 (2008), no. 5-6, 513--540. https://projecteuclid.org/euclid.die/1356038631