Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities

被引：116
作者：
Aizicovici, S [1 ]
McKibben, M
Reich, S
机构：
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 02期
关键词：
anti-periodic solution; evolution equation; maximal monotone operator; discontinuous nonlinearity;
D O I：
10.1016/S0362-546X(99)00192-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized solutions for locally bounded, continuous, nonlinear equations were analyzed. The anti-periodic problems for nonlinear partial differential equations were analyzed by applying the sum of a nonmonotone operator and a superposition operator. First and second order integral equations were analyzed for nonlinearities by applying various boundary value conditions.
引用
收藏
页码：233 / 251
页数：19
相关论文
共 50 条
  • [1] Anti-periodic solutions for nonlinear evolution equations
    Yi Cheng
    Fuzhong Cong
    Hongtu Hua
    Advances in Difference Equations, 2012
  • [2] Anti-periodic solutions for nonlinear evolution equations
    Cheng, Yi
    Cong, Fuzhong
    Hua, Hongtu
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [3] Anti-periodic solutions for nonlinear evolution equations in Hilbert spaces
    Li, Y
    Cho, YJ
    Chen, YQ
    DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 2, 2002, : 119 - 125
  • [4] Existence of Solutions for Nonlinear Nonmonotone Evolution Equations in Banach Spaces with Anti-Periodic Boundary Conditions
    Boussandel, Sahbi
    APPLICATIONS OF MATHEMATICS, 2018, 63 (05) : 523 - 539
  • [5] Existence of Solutions for Nonlinear Nonmonotone Evolution Equations in Banach Spaces with Anti-Periodic Boundary Conditions
    Sahbi Boussandel
    Applications of Mathematics, 2018, 63 : 523 - 539
  • [6] Anti-periodic solutions for semilinear evolution equations
    Chen, YQ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) : 337 - 348
  • [7] Anti-periodic solutions for evolution equations with mappings in the class (S+)
    Chen, YQ
    Cho, YJ
    O'Regan, D
    MATHEMATISCHE NACHRICHTEN, 2005, 278 (04) : 356 - 362
  • [8] Anti-periodic solutions for evolution equations associated with maximal monotone mappings
    Chen, Yuqing
    Nieto, Juan J.
    O'Regan, Donal
    APPLIED MATHEMATICS LETTERS, 2011, 24 (03) : 302 - 307
  • [9] Anti-periodic solutions to a class of non-monotone evolution equations
    Aizicovici, S
    Reich, S
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 5 (01) : 35 - 42
  • [10] On the Existence of Anti-periodic Solutions for Implicit Differential Equations
    Liu, J.
    Liu, Z.
    ACTA MATHEMATICA HUNGARICA, 2011, 132 (03) : 294 - 305
12345