Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays

• Autores: Qiyi Fan, Wentao Wang, Xuejun Yi
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 762-769
• Idioma: inglés
• DOI: 10.1016/j.cam.2009.01.005
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• Resumen

  • 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-t(t)))=e(t).