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具Volterra型的2k阶时滞泛函微分方程的周期解

Periodic Solutions for (2k) th-Order Volterra Delay Functional Equations
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摘要 讨论2k阶含Volterra项的时滞泛函微分方程在L2(0,2π)空间中的2π周期解问题,利用Schauder不动点定理和傅氏分析技术获得了其周期解的存在性与惟一性. The authors investigated the periodic solution of (2k)th-order volterra delay functional equations in the space L^2(0,2π). Some results on existence and uniqueness of periodic solution were obtained via Schauder fixed-point theorem and Fourier method.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2009年第4期745-748,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10601019) 吉林大学"985工程"研究生项目基金(批准号:20080112)
关键词 2k阶时滞泛函微分方程 周期解 SCHAUDER不动点定理 2k th-order voherra delay functional equation periodic solution Schauder fixed point theorem
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  • 1史少云 王国明 刘柏枫.A note on boundary value problems of fourth-order ordinary differential equations(关于四阶常微分方程奇摄动边值问题的一个注记) [J].Journal of Jilin University,. 被引量:1
  • 2Burton T A, Zhang Shu-nian. Unified Boundedness, Periodicity and Stability in Ordinary and Functional Differential Equations[J]. Ann Mat Pura Appl, 1986, 145: 129~158. 被引量:1
  • 3Huang Qi-chang, Wang Ke. Space Ch, Boundedness and Periodic Solutions of FDE with Infinite Delay[J].Scientia Sinica Ser A, 1987, 30: 807~818. 被引量:1
  • 4Li Yong, Wang Huai-zhong, LU Xian-rui. Equilibrium for Permanent Multivalued Systems[J]. Quart Appl Math, 1993, 54: 791~795. 被引量:1
  • 5Burton T A, Winggins D P, Feng You-he. Periodic Solutions of Functional Differential Equations with Infinite Delay[J]. J London Math Soc, 1989, 40: 81~88. 被引量:1
  • 6Colombo R M, Fryszkowski A, Rzezuchowski T, et al. Continuous Selections of Solution Sets of Lipschitzean Differential Inclusions[J]. Funkcial Ekvac, 1991, 34: 321~330. 被引量:1
  • 7Horn W A. Some Fixed Point Theorems for Compact Maps and Flows in Banach Spaces[J]. Trans Amer Math Soc, 1970,149:391~404. 被引量:1
  • 8Blagodat Skikh V I, Filippov A F. Differential Inclusions and Optimal Control[J]. Proc Steklov Inst Math,1986, 169: 199~259. 被引量:1
  • 9Plaskacz S. Periodic Solutions of Nonlinear Functional Differential Inclusions on Compact Subsets of R^n[J].J Math Anal Appl, 1990, 148: 202~212. 被引量:1
  • 10Nistri P. Periodic Control Problems for a Class of Nonlinear Periodic Differential Systems[J]. Nonlinear Anal,1983, 7: 79~90. 被引量:1

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