Antiperiodic Solutions for a Kind of Nonlinear Duffing Equations with a Deviating Argument and Time-Varying Delay | Zendy

Changjin Xu | Zendy; Maoxin Liao | Zendy

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Antiperiodic Solutions for a Kind of Nonlinear Duffing Equations with a Deviating Argument and Time-Varying Delay

Author(s) -

Changjin Xu,

Maoxin Liao

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/734632

Subject(s) - duffing equation , mathematics , nonlinear system , argument (complex analysis) , verifiable secret sharing , exponential stability , ordinary differential equation , delay differential equation , stability (learning theory) , mathematical analysis , differential equation , control theory (sociology) , computer science , physics , biochemistry , chemistry , set (abstract data type) , quantum mechanics , machine learning , programming language , control (management) , artificial intelligence

This paper deals with a kind of nonlinear Duffing equation with a deviating argument and time-varying delay. By using differential inequality techniques, some very verifiable criteria on the existence and exponential stability of antiperiodic solutions for the equation are obtained. Our results are new and complementary to previously known results. An example is given to illustrate the feasibility and effectiveness of our main results

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