Existence of solutions to periodic boundary problems with unbounded nonlinearity

被引：0
|
作者：
Sinkala, Z [1 ]
机构：
[1] MIDDLE TENNESSEE STATE UNIV,MURFREESBORO,TN 37132
来源：
HOUSTON JOURNAL OF MATHEMATICS | 1995年 / 21卷 / 04期
关键词：
Leray-Schauder degree; the alternative method; existence of solutions; finite dimensinal kernels; selfadjoint linear operators; periodic boundary value problem of ordinary differential equations of unbounded nonlinearities;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a sufficient condition for existence of 2 pi-periodic solutions to a semilinear equation where the linear part is of bidimensional kernel and the nonlinear part is unbounded.
引用
收藏
页码：813 / 821
页数：9
相关论文
共 50 条
  • [21] Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems
    Xiao-ning Lin
    Hong Wang
    Da-qing Jiang
    Acta Mathematicae Applicatae Sinica, English Series, 2007, 23 : 289 - 302
  • [22] Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems
    Xiao-ning Lin School of Business
    ActaMathematicaeApplicataeSinica, 2007, (02) : 289 - 302
  • [23] Existence of single and multiple solutions for first order periodic boundary value problems
    Lin, Xiao-ning
    Wang, Hong
    Jiang, Da-qing
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 23 (02): : 289 - 302
  • [24] Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
    Rachunková, I
    Tvrdy, M
    Vrkoc, I
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (02) : 445 - 469
  • [25] Existence of solutions to first-order impulsive periodic boundary value problems
    Zhao, Aimin
    Bai, Zhenguo
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1970 - 1977
  • [26] Existence of solutions for 2mth-order periodic boundary value problems
    Feng, Xiaojing
    Niu, Pengcheng
    Guo, Qianqiao
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 2343 - 2352
  • [27] EXISTENCE AND STABILITY OF PERIODIC AND ALMOST PERIODIC SOLUTIONS TO THE BOUSSINESQ SYSTEM IN UNBOUNDED DOMAINS
    Thieu Huy NGUYEN
    Truong Xuan PHAM
    Thi Ngoc Ha VU
    The Sac LE
    ActaMathematicaScientia, 2022, 42 (05) : 1875 - 1901
  • [28] Existence and Stability of Periodic and Almost Periodic Solutions to the Boussinesq System in Unbounded Domains
    Thieu Huy Nguyen
    Truong Xuan Pham
    Thi Ngoc Ha Vu
    The Sac Le
    Acta Mathematica Scientia, 2022, 42 : 1875 - 1901
  • [29] Existence and Stability of Periodic and Almost Periodic Solutions to the Boussinesq System in Unbounded Domains
    Nguyen, Thieu Huy
    Pham, Truong Xuan
    Vu, Thi Ngoc Ha
    Le, The Sac
    ACTA MATHEMATICA SCIENTIA, 2022, 42 (05) : 1875 - 1901
  • [30] Pairs of solutions of constant sign for nonlinear periodic equations with unbounded nonlinearity
    Hu, SC
    Papageorgiou, NS
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2005, 12 (02) : 193 - 208
12345