Positive Periodic Solutions of Second-Order Differential Equations with Delays
نویسندگان
چکیده
منابع مشابه
Periodic 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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Criteria are established for existence of positive solutions to the second order periodic boundary value problem −u(t) + pu(t) + p1u(t) = f(t, u), t ∈ I = [0, T ], u(0) = u(T ), u(0) = u(T ), where p ∈ R and p1 ≥ 0. The discussion is based on the fixed point index theory in cones. AMS Subject Classification: 34B18
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In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative of Leray–Schauder type and on Krasnosel’skĭı fixed point theorem on compression and expansion of cones.
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/829783