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Li, Taotao; Li, Jianli

Existence results of second-order impulsive neutral functional differential inclusions in Banach spaces. (English) Zbl 1422.34225

Adv. Difference Equ. 2015, Paper No. 309, 8 p. (2015).
Summary: In this paper, we investigate the existence of solutions for a class of second-order impulsive neutral functional differential inclusions in Banach spaces. Sufficient conditions for the existence are derived with the help of the fixed point theorem for multivalued maps due to Dhage.

Cited in 2 Documents

MSC:

34K40 Neutral functional-differential equations
34K45 Functional-differential equations with impulses
34K09 Functional-differential inclusions
34G25 Evolution inclusions
34A37 Ordinary differential equations with impulses
34K30 Functional-differential equations in abstract spaces
47H10 Fixed-point theorems

Keywords:

impulse neutral functional differential inclusions; second-order; existence; fixed point theorem
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References:

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