scholarly journals Periodic Solutions for a Class of -th Order Functional Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
Bing Song ◽  
Lijun Pan ◽  
Jinde Cao
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Coincidence Degree Theory ◽  
Existence Of Periodic Solutions ◽  
Functional Differential

We study the existence of periodic solutions forn-th order functional differential equations . Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.

Existence of positive periodic solutions of fourth-order singular p-Laplacian neutral functional differential equations

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5855-5868 ◽  
Author(s):  
Fanchao Kong ◽  
Shiping Lu
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Fourth Order ◽  
Functional Differential Equations ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Positive Periodic Solutions ◽  
Neutral Functional Differential Equations ◽  
Time Varying Delay ◽  
Functional Differential

This work deals with the existence of positive periodic solutions for the fourth-order p-Laplacian neutral functional differential equations with a time-varying delay and a singularity. The results are established using the continuation theorem of coincidence degree theory and some analysis methods. A numerical example is presented to illustrate the effectiveness and feasibility of the proposed criterion.

On the existence of periodic solutions for autonomous retarded functional differential equations on R2

1986 ◽  
Vol 102 (3-4) ◽  
pp. 259-262 ◽  
Author(s):  
J. G. Dos Reis ◽  
R. L. S. Baroni
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Continuous Functions ◽  
Retarded Functional Differential Equations ◽  
Existence Of Periodic Solutions ◽  
Functional Differential

SynopsisLet Ca be the set of all the continuous functions from the interval [−r, 0] on the sphere of radius a, on the plane. We prove, under certains conditions, that a retarded autonomous differential equation that leaves Ca invariant has a non-constant periodic solution.

Existence of Periodic Solutions to a Class of Environmental Mathematical Model

2012 ◽  
Vol 518-523 ◽  
pp. 1540-1543
Author(s):  
Jun Yi Yin
Keyword(s):  
Mathematical Model ◽  
Periodic Solutions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Coincidence Degree Theory ◽  
Number Of Species ◽  
Existence Of Periodic Solutions

This paper has studied a class of environmental mathematical model by using the coincidence degree theory, verified the existence of periodic solutions of the system to meet certain conditions, and revealed a relationship between a number of species in the system and pollution.

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