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PERIODIC SOLUTION TO A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH A STATEMENT-DEPENDENT DEVIATION VARIABLE 被引量：4

PERIODIC SOLUTION TO A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH A STATEMENT-DEPENDENT DEVIATION VARIABLE
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摘要 We obtain sufficient conditions for class of second order neutral functional theorem of the coincidence degree. the existence of periodic solution to a differential equation, using continuation We obtain sufficient conditions for class of second order neutral functional theorem of the coincidence degree. the existence of periodic solution to a differential equation, using continuation
作者 Li Lei Zhou Zongfu
机构地区 School of Math. and Computation Science Shanghai Taopu Middle School
出处 《Annals of Differential Equations》 2007年第3期280-287,共8页 微分方程年刊（英文版）
基金 Supported by the Education Department of Anhui Natural Science Foundation (2004kj0282006KJ245B).
关键词 periodic solution neutral functional differential equation statement-dependent deviation variable coincidence degree periodic solution, neutral functional differential equation, statement-dependent deviation variable, coincidence degree
分类号 O175.1 [理学—基础数学]
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  • 1Hale, J, K, Mawhin, J.: Coincidence degree and periodic solutions of neutral equations. J. Diff. Eqns,15, 295-307 (1975).
  • 2Fan, M, Wang, K.: Periodic solutions of convex neutral functional differential equations, Tohoku J. Math,52, 47-49 (2000).
  • 3Hale, J. K.: Theory of functional differential equations, Springer-Verlag, New York, 1977.
  • 4Bartsch, Th, Mawhin, J.: The Leray Schauder degree of S^1-equivariant operator associated to autonomous neutral equations in spaces of periodic functions. J. Differential Equations, 92, 90-99 (1991).
  • 5Serra, E.: Periodic solutions for some nonlinear differential equational equations of neutral type, Nonlinear Analysis, TMA, 17, 1:139-151 (1991).
  • 6Lu, S. P, Ge, W. G.: On the existence of periodic solutions for neutral functional differential equation.Nonlinear Analysis, TMA, 54, 1285-1306 (2003).
  • 7Lu, S. P, Ge, W. G.: On the existence of periodic solutions for a kind of second order n-Dimensional neutral differential equation. Aeta Mathematica Sinica, Chinese Series, 46(3), 601-610, (2003).
  • 8Lu, S. P, Ge, W. G, Zheng, Z. X.: Periodic,solutions to neutral functional differential equation with deviating arguments. Applied Mathematics and Computation, 152(1), 17-27 (2004).
  • 9Lu, S, P, Ge, W. G.: Problems of periodic solutions for a kind of second order neutral functional differential equation. Applicable Analysis, 82(5), 393-410 (2003).
  • 10Lu, S. P, Ge, W. G, Zheng, Z. X.: Existence of periodic solutions for neutral functional differential equation.Chinese Annals of Mathematics (A), 25(5), 645-652 (2004).

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二级引证文献1

Annals of Differential Equations
2007年 第3期

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