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Nonlinear impulsive partial functional differential inclusions with state-dependent delay and multivalued jumps

✍ Scribed by Nadjet Abada; Mouffak Benchohra; Hadda Hammouche


Publisher
Elsevier
Year
2010
Tongue
English
Weight
383 KB
Volume
4
Category
Article
ISSN
1751-570X

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✦ Synopsis


In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential inclusions with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.


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✍ Mohammed Belmekki; Mouffak Benchohra; Khalil Ezzinbi πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 232 KB

In this paper, we establish sufficient conditions for the existence of solutions for some partial functional differential equations with state-dependent delay; we assume that the linear part is not necessarily densely defined and satisfies the well-known Hille-Yosida conditions. Our approach is base