Periodic Solutions for a Kind of Third-Order Delay Differential Equations with a Deviating Argument

Journal of Mathematical Sciences

Mahmoud A. M..¹  Abou-El-Ela, A. M. A.¹  Sadek, A. I.¹ 

关键词: Continuation theorem;    Coincidence degree;    Existence and uniqueness;    Third-order delay differential equations;    Deviating argument.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Inthispaper,byusingthecontinuationtheoremofcoincidencedegreetheoryandanalysistechniques,weestablishanewresultontheexistenceanduniquenessofaT-periodicsolutionforthethird-orderdelaydifferentialequationwithadeviatingargumentofthefollowingform$$dddot{x}(t)+f(t,x(t))ddot{x}(t)+g(x(t))dot{x}(t)+h(t,x(t-r(t)))=p(t).$$

【 授权许可】

Unknown