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Existence of Semilinear Differential Equations with Nonlocal Initial Conditions 被引量：6

Existence of Semilinear Differential Equations with Nonlocal Initial Conditions
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摘要 In this paper we give the existence of mild solutions for semilinear Cauchy problems u′（t） = Au（t） ＋f（t, u（t））, t ∈ I, a.e. with nonlocal initial condition u（O） = g（u） ＋uo when the map g loses compactness in Banach spaces. In this paper we give the existence of mild solutions for semilinear Cauchy problems u′（t） = Au（t） ＋f（t, u（t））, t ∈ I, a.e. with nonlocal initial condition u（O） = g（u） ＋uo when the map g loses compactness in Banach spaces.
作者 Xing Mei XUE
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第6期983-988,共6页 数学学报（英文版）
关键词 nonlocal condition compact semigroup mild solution nonlocal condition, compact semigroup, mild solution
分类号 O17 [理学—基础数学]
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参考文献16

  • 1Byszewski, L.: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchuy problem. J. Math. Anal. Appl., 162, 494-505 (1991).
  • 2Deng, K.: Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions. J. Math. Anal. Appl., 179, 630-637 (1993).
  • 3Byszewski, L., Lakshmikantham, V.: Theorems about the existence and uniqueness of a solutions of a nonlocal Cauchuy problem in a Banach space. Appl. Anal., 40, 11-19 (1990).
  • 4Byszewski, L.: Existence and uniqueness of solutions of semilinear evolution nonlocal Cauchuy problem. Zesz. Nauk. Pol. Rzes. Mat. Fiz., 18, 109-112 (1993).
  • 5Jackson, D.: Existence and uniqueness of solutions of semilinear evolution nonlocal parabolic equations. J. Math. Anal. Appl., 172, 256-265 (1993).
  • 6Lin, Y., Liu, J.: Semilinear integrodifferential equations with nonlocal Cauchy Problems. Nonlinear Analysis, 26, 1023-1033 (1996).
  • 7Ntouyas, S., Tsamotas, P.: Global existence for semilinear evolution equations with nonlocal conditions. J. Math. Anal. Appl., 210, 679-687 (1997).
  • 8Ntouyas, S., Tsamotas, P.: Global existence for semilinear integrodifferential equations with delay and nonlocal conditions. Anal. Appl., 64, 99-105 (1997).
  • 9Byszewski, L., Akca, H.: Existence of solutions of a semilinear functional-differential evolution nonlocal problem. Nonlinear Analysis, 34, 65-72 (1998).
  • 10Aizicovici, S., Mckibben, M.: Existence results for a class of abstract nonlocal Cauchy problems. Nonlinear Analysis, 39, 649-668 (2000).

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Acta Mathematica Sinica,English Series
2007年 第6期

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