Existence of asymptotic solutions of second order neutral differential equation with multiple delays
نویسندگان
چکیده
منابع مشابه
Existence of Periodic Solutions for a Second Order Nonlinear Neutral Differential Equation with Functional Delay
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...
متن کاملPeriodic solutions of second-order differential equations with multiple delays
* Correspondence: [email protected] School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, P. R. China Full list of author information is available at the end of the article Abstract By using the critical point theory and S index theory, we obtain a new result for the existence and multiplicity of periodic solutions for a class of second-order...
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and Applied Analysis 3 The techniques used in this paper are completely different from those in 5 . Our results are more general than those in 5 in two aspects. Firstly, we relax the conditions of the coefficient a t appeared in an equation in 5 and expand the range of its values. Secondly, by constructing a special cone and applying the fixed-point index theory in cones, we obtain the essentia...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1995
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953395000074