Existence of solutions of second-order partial neutral functional differential equations with infinite delay
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
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In this paper, we establish results concerning, existence, uniqueness, global continuation, and regularity of integral solutions to some partial neutral functional differential equations with infinite delay. These equations find their origin in the description of heat flow models, viscoelastic and thermoviscoelastic materials, and lossless transmission lines models; see for example [15] and [38].
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In this work, we prove a result on the local existence of mild solution in the α-norm for some partial functional differential equations with infinite delay. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. Some application is provided.
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In this article we study the existence of periodic solutions of the second order nonlinear neutral differential equation with functional delay d dt x (t) + p (t) d dt x (t) + q (t) x (t) = d dt g (t, x (t− τ (t))) + f ` t, x (t) , x (t− τ (t)) ́ . The main tool employed here is the Burton-Krasnoselskii’s hybrid fixed point theorem dealing with a sum of two mappings, one is a large contraction an...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2011
ISSN: 0035-7596
DOI: 10.1216/rmj-2011-41-6-1861