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Tytuł artykułu

Periodic solutions of first-order functional differential equations with supper-linear nonliearities

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Języki publikacji
EN
Abstrakty
EN
The existence results for periodic solutions concerning first-order functional differential equation are proved. The methods are based upon the coincidence degree theory by Mawhin. The results obtained are new. Examples, that can not be solved by known theorems, are given to illustrate the main results.
Rocznik
Tom
Strony
57--74
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
  • Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320, P.R. China, liuyuji888@sohu.com
Bibliografia
  • [1] FARKAS M.,GRAEF J., QIAN C., Asymptotic periodicity of delay differential equations, J. Math. Anal, Appl, 226(1998), 150-165.
  • [2] WANG G., Existence theorems of periodic solutions for a delay nonlinear differential equation with piecewise constant argument, J. Math. Anal. Appl., 298(2004), 298-307.
  • [3] ZHANG G., CHENG S., Existence of positive periodic solutions of non-autonomous functional differential equations, Electronic J. of Differential Equations, 59(2001), 1-8.
  • [4] JlANG D., WEI J., ZHANG B., Positive periodic solutions of functional differential equations and population models, Electronic J. of Differential Equations, 71(2002), 1-13.
  • [5] KIGARADZE I.T., PUZA B., On periodic solutions of systems of differential equations with deviating arguments, Nonlinear Analysis, 42(2000), 229-242.
  • [6] KUANG Y., Delay Differential Equations with Applications in Population Dynamics, Academic Press, New York, 1993.
  • [7] YANG X., Upper and lower solutions for periodic solutions, Appl. Math. Corn-put., 137(2003), 413-422.
  • [8] GAINES R.E., MAWHIN J.L., Coincidence Degree and Nonlinear Differential Equations, Lecture Notes in Math. 568, Springer, Berlin, 1977.
  • [9] LOUD W.S., Periodic solutions of nonlinear differential equations of Duffine types, in differential equations, New York, Benjami (1967), 199-224.
  • [10] REISSIG R., Contractive mapping and periodically perturbed non-conser-vertive systems, Lincei Rend. Sco. Fiz. Mat. Enat, 58(1975), 696-702.
  • [11] Liu Y., GE W., Positive periodic solutions of nonlinear differential equations, Appl. Math, a Journal of Chinese Universities, 18(4)(2003), 373-382.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0077-0072
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