Existence of periodic solutions for a system of delay differential equations

2009 ◽  
Vol 71 (12) ◽  
pp. 6222-6231 ◽  
Author(s):  
Cheng-Hsiung Hsu ◽  
Suh-Yuh Yang ◽  
Ting-Hui Yang ◽  
Tzi-Sheng Yang
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

A new Ф-generalized quasi metric space with some fixed point results and applications

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3157-3172
Author(s):  
Mujahid Abbas ◽  
Bahru Leyew ◽  
Safeer Khan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Periodic Solutions ◽  
Metric Space ◽  
Delay Differential Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

In this paper, the concept of a new ?-generalized quasi metric space is introduced. A number of well-known quasi metric spaces are retrieved from ?-generalized quasi metric space. Some general fixed point theorems in a ?-generalized quasi metric spaces are proved, which generalize, modify and unify some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed points for contraction mappings in the domain of words and to prove the existence of periodic solutions of delay differential equations.

PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS

2010 ◽  
Vol 03 (01) ◽  
pp. 31-43
Author(s):  
Zhibo Cheng ◽  
Jingli Ren ◽  
Stefan Siegmund
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Existence Of Periodic Solutions ◽  
Delay Differential ◽  
New Inequalities

In this paper we consider a generalized n-th order delay differential equation, by applying Mawhin's continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions. Moreover, an example is given to illustrate the results.

Existence and Uniqueness of Periodic Solutions for (2k)th-Order Delay Differential Equations

2012 ◽  
Vol 538-541 ◽  
pp. 2500-2503
Author(s):  
Xin Liang ◽  
Fu Zhong Cong ◽  
Ming Juan Ma ◽  
Yu Zhang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Fourier Analysis ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Existence And Uniqueness ◽  
Even Order ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

The existence of periodic solutions for a class of even order delay differential equations is obtained. It is useful in the delay problem of wireless beaconage. The proofs are based on combining a method of Fourier analysis with Schauder fixed point theorem. This generalizes results developed by W. Layton to high order equations

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