Almost regularity conditions of spectral problems for a second order equation

被引:0
|
作者
Mamedov, YA [1 ]
Ahmadov, HI [1 ]
机构
[1] Baku State Univ, Fac Appl Math & Cybernet, Baku 370148, Azerbaijan
关键词
spectral problem; asymptotic distribution;
D O I
10.1088/0253-6102/41/5/649
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The asymptotic distributions are exactly solved for linearly independent solutions considering problem of the second order and for the coefficients of asymptotic distribution the recurrent formulas are obtained. Further, using obtained recurrent formulas the necessary and sufficient conditions for almost regularity of spectral problem for the equation of the second order is proved.
引用
收藏
页码:649 / 654
页数:6
相关论文
共 50 条
  • [31] On the second-order regularity of solutions to the parabolic p-Laplace equation
    Yawen Feng
    Mikko Parviainen
    Saara Sarsa
    Journal of Evolution Equations, 2022, 22
  • [32] A second-order low-regularity integrator for the nonlinear Schrodinger equation
    Ostermann, Alexander
    Wu, Yifei
    Yao, Fangyan
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [33] On the second-order regularity of solutions to the parabolic p-Laplace equation
    Feng, Yawen
    Parviainen, Mikko
    Sarsa, Saara
    JOURNAL OF EVOLUTION EQUATIONS, 2022, 22 (01)
  • [34] Local second order regularity of solutions to elliptic Orlicz-Laplace equation
    Karppinen, Arttu
    Sarsa, Saara
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 253
  • [35] Second order Sobolev regularity results for the generalized p-parabolic equation
    Feng, Yawen
    Parviainen, Mikko
    Sarsa, Saara
    JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (05)
  • [36] Inverse spectral problem for the differential equation of the second order with singularity
    Amirov, RK
    Gulyaz, S
    PROCEEDINGS OF THE EIGHTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL EQUATIONS, 1998, : 17 - 24
  • [37] Spectral methods for the wave equation in second-order form
    Taylor, Nicholas W.
    Kidder, Lawrence E.
    Teukolsky, Saul A.
    PHYSICAL REVIEW D, 2010, 82 (02):
  • [38] SOLVABILITY OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH SPECTRAL PARAMETER IN THE EQUATION AND BOUNDARY CONDITIONS
    Aliev, Bahram A.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2010, 33 (41): : 3 - 26
  • [39] Almost Periodic Solutions for a Second-Order Nonlinear Equation with Mixed Delays
    Xu, Mei
    Du, Bo
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [40] Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints
    Khanh, H.
    Kien, B. T.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2025, 46 (02) : 137 - 165