ON ONE BOUNDARY VALUE PROBLEM FOR A NONLINEAR EQUATION WITH THE ITERATED WAVE OPERATOR IN THE PRINCIPAL PART

被引：0
|
作者：
Kharibegashvili, Sergo [1 ,2 ]
Midodashvili, Bidzina [3 ]
机构：
[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
[2] I Javakhishvili Tbilisi State Univ, GE-0143 Tbilisi, Georgia
[3] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 03期
关键词：
Boundary value problem; hyperbolic equations with power nonlinearity; nonexistence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
One boundary value problem for a hyperbolic equation with power nonlinearity and the iterated wave operator in the principal part is considered in a conical domain. Depending on the index of nonlinearity and spatial dimensionality of the equation the question on the existence and uniqueness of a solution of a boundary value problem is investigated. The question as to the absence of a solution of this problem is also considered.
引用
收藏
页码：541 / 554
页数：14
相关论文
共 50 条
  • [31] On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases
    Khachatryan, A. Kh.
    Khachatryan, Kh. A.
    Sardaryan, T. H.
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2014, 10 (03) : 320 - 327
  • [32] Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation
    Kharibegashvili, S. S.
    Jokhadze, O. M.
    SBORNIK MATHEMATICS, 2014, 205 (04) : 573 - 599
  • [33] POSITIVE SOLUTION TO BOUNDARY VALUE PROBLEM OF NONLINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION
    Chen, Anping
    Ke, Tingting
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 7 (02): : 77 - 92
  • [34] Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
    Xu, Xiaojie
    Jiang, Daqing
    Yuan, Chengjun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4676 - 4688
  • [35] Solutions to Boundary Value Problem of Nonlinear Impulsive Differential Equation of Fractional Order
    SU XIN-WEI (Department of Mathematics
    Communications in Mathematical Research, 2011, 27 (02) : 114 - 126
  • [36] On a boundary value problem for the biharmonic equation
    Kal'menov, Tynysbek Sh.
    Iskakova, Ulzada A.
    ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015), 2015, 1676
  • [37] On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation
    Assanova, A. T.
    Zhumatov, S. S.
    Mynbayeva, S. T.
    Karakenova, S. G.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 105 (01): : 25 - 34
  • [38] QUASILINEAR ITERATIVE METHOD FOR THE BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
    Sun, Yu-Feng
    Zeng, Zheng
    Song, Jie
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2020, 10 (02): : 157 - 164
  • [39] On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation
    Orumbayeva, N. T.
    Tokmagambetova, T. D.
    Nurgalieva, Zh N.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2021, 104 (04): : 110 - 117
  • [40] INITIAL BOUNDARY VALUE PROBLEM FOR A STRONGLY DAMPED WAVE EQUATION WITH A GENERAL NONLINEARITY
    Yang, Hui
    Han, Yuzhu
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (03): : 635 - 648
12345