Differential and Integral Equations
- Differential Integral Equations
- Volume 23, Number 3/4 (2010), 279-302.
Extrapolation method and some nondensely defined impulsive semilinear neutral partial functional differential inclusions
In this paper, we use the extrapolation method combined with a fixed-point theorem for the sum of completely continuous and contraction operators, to establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some classes of nondensely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces with infinite delay.
Differential Integral Equations, Volume 23, Number 3/4 (2010), 279-302.
First available in Project Euclid: 20 December 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34A37: Differential equations with impulses 34A60: Differential inclusions [See also 49J21, 49K21] 34G25: Evolution inclusions 34K30: Equations in abstract spaces [See also 34Gxx, 35R09, 35R10, 47Jxx] 34K45: Equations with impulses
Abada, N.; Agarwal, R.P.; Benchohra, M.; Hammouche, H. Extrapolation method and some nondensely defined impulsive semilinear neutral partial functional differential inclusions. Differential Integral Equations 23 (2010), no. 3/4, 279--302. https://projecteuclid.org/euclid.die/1356019319