On systems of semilinear hyperbolic functional equations

被引:0
|
作者
Simon, Laszlo [1 ]
机构
[1] L Eotvos Univ Budapest, Inst Math, Budapest, Hungary
来源
关键词
Semilinear hyperbolic equations; functional partial differential equations; second order hyperbolic systems; qualitative properties of solutions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider a system of second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence of solutions for t is an element of(0, T) and t is an element of(0, infinity), further, examples and some qualitative properties of the solutions in (0, infinity) are shown.
引用
收藏
页码:479 / 495
页数:17
相关论文
共 50 条
  • [41] On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations
    Chen, Tianlong
    Chen, Yuxuan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198
  • [42] Cauchy problem on a characteristic conoid for semilinear hyperbolic equations
    Bah, S
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (12): : 1381 - 1384
  • [43] Semilinear Integrodifferential Equations of Hyperbolic Type: Existence in the Large
    Piermarco Cannarsa
    Daniela Sforza
    Mediterranean Journal of Mathematics, 2004, 1 (2) : 151 - 174
  • [44] Semilinear formulation of a hyperbolic system of partial differential equations
    Barril, Carles
    Calsina, Angel
    JOURNAL OF EVOLUTION EQUATIONS, 2022, 22 (03)
  • [45] Almost Automorphic Solutions for Hyperbolic Semilinear Evolution Equations
    S. Boulite
    L. Maniar
    G. M. N'Guerekata
    Semigroup Forum, 2005, 71 : 231 - 240
  • [46] PERIODIC SOLUTIONS FOR SYSTEMS OF FUNCTIONAL-DIFFERENTIAL SEMILINEAR EQUATIONS AT RESONANCE
    Amster, Pablo
    Epstein, Julian
    Sanjuan Cuellar, Arturo
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (02) : 591 - 607
  • [47] NONEXISTENCE OF GLOBAL SOLUTIONS OF CAUCHY PROBLEMS FOR SYSTEMS OF SEMILINEAR HYPERBOLIC EQUATIONS WITH POSITIVE INITIAL ENERGY
    Aliev, Akbar B.
    Yusifova, Gunay I.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [48] GLOBAL WELL-POSEDNESS OF SEMILINEAR HYPERBOLIC EQUATIONS, PARABOLIC EQUATIONS AND SCHRODINGER EQUATIONS
    Xu, Runzhang
    Chen, Yuxuan
    Yang, Yanbing
    Chen, Shaohua
    Shen, Jihong
    Yu, Tao
    Xu, Zhengsheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [49] THE REGULAR ATTRACTOR OF SEMILINEAR HYPERBOLIC DISSIPATIVE SYSTEMS
    STEPANOV, VS
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1985, (05): : 74 - 77
  • [50] Global Cauchy problem for semilinear hyperbolic systems with nonlocal interactions. Applications to Dirac equations
    Bachelot, Alain
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 86 (03): : 201 - 236