The Existence and Uniqueness of Periodic Solutions for Some Nonlinearnth-Order Differential Equations | Zendy

Qiyuan Zhou | Zendy; Shuhua Gong | Zendy

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The Existence and Uniqueness of Periodic Solutions for Some Nonlinearnth-Order Differential Equations

Author(s) -

Qiyuan Zhou,

Shuhua Gong

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/909387

Subject(s) - uniqueness , mathematics , coincidence , order (exchange) , degree (music) , differential equation , nonlinear system , pure mathematics , mathematical analysis , medicine , physics , alternative medicine , finance , pathology , quantum mechanics , acoustics , economics

The nonlinear nth-order differential equations are considered. By using inequality techniques and coincidence degree theory, some criteria are obtained to guarantee the existence and uniqueness of T-periodic solutions for the equations. The obtained results are also valid and new for the problem discussed in the previous literature. Moreover, two illustrative examples are provided to illustrate the effectiveness of our results

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