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Anti-periodic solutions for a class of nonlinear th-order differential equations with delays |
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| Authors: | Qiyi Fan Wentao Wang Xuejun Yi |
| Institution: | aDepartment of Mathematics, Hunan University of Arts and Science, Changde, Hunan 415000, PR China;bCollege of Mathematics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, PR China;cCollege of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, PR China |
| Abstract: | In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form x(n)(t)+f(t,x(n−1)(t))+g(t,x(t−τ(t)))=e(t). |
| Keywords: | color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4VFK7WC-1&_mathId=mml4&_user=10&_cdi=5619&_rdoc=40&_acct=C000054348&_version=1&_userid=3837164&md5=a9c5db8030bfeff414ba14e914d9f62a" title="Click to view the MathML source" nth-order differential equations" target="_blank">alt="Click to view the MathML source">nth-order differential equations Delays Anti-periodic solution Existence and uniqueness Leray– Schauder degree |
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