On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities

被引:0
|
作者
Astashova V.I. [1 ]
Rogachev V.V. [1 ]
机构
[1] Lomonosov Moscow State University Russia, 1 Leninskie Gory, Moscow
关键词
Cauchy Problem; Constant Sign; Phase Curve; Oscillate Solution; Oscillation Criterion;
D O I
10.1007/s10958-015-2279-7
中图分类号
学科分类号
摘要
For the generalized Emden–Fowler equation (Formula presented.) we prove the existence of solutions with a given number of zeros in the domain of definition. © 2015, Springer Science+Business Media New York.
引用
收藏
页码:733 / 748
页数:15
相关论文
共 50 条
  • [1] Polynomial integrals for third- and fourth-order ordinary difference equations
    R Sahadevan
    C Uma Maheswari
    Journal of Nonlinear Mathematical Physics, 2008, 15 : 299 - 315
  • [2] Polynomial integrals for third- and fourth-order ordinary difference equations
    Sahadevan, R.
    Maheswari, C. Uma
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2008, 15 (03) : 299 - 315
  • [3] Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations
    Jaiswal, J. P.
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [4] Multiple solutions for a class of nonhomogeneous fourth-order quasilinear equations with nonlinearities
    Almuaalemi, Belal
    Chen, Haibo
    Khoutir, Sofiane
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (03) : 573 - 583
  • [5] Multiple solutions for a class of nonhomogeneous fourth-order quasilinear equations with nonlinearities
    Belal Almuaalemi
    Haibo Chen
    Sofiane Khoutir
    Differential Equations and Dynamical Systems, 2022, 30 : 573 - 583
  • [6] On the third- and fourth-order constants of incompressible isotropic elasticity
    Destrade, Michel
    Ogden, Raymond W.
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2010, 128 (06): : 3334 - 3343
  • [7] Third- and fourth-order elasticities of biological soft tissues
    Destrade, Michel
    Gilchrist, Michael D.
    Ogden, Raymond W.
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2010, 127 (04): : 2103 - 2106
  • [8] Order determination of MA models using third- and fourth-order statistics
    Ruiz, DP
    Gallego, A
    Carrion, MC
    Porti, J
    SIGNAL PROCESSING, 1998, 65 (03) : 403 - 406
  • [9] Chebyshev Differential Quadrature for Numerical Solutions of Third- and Fourth-Order Singular Perturbation Problems
    Yigit, Gulsemay
    Bayram, Mustafa
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2020, 90 (03) : 429 - 436
  • [10] Chebyshev Differential Quadrature for Numerical Solutions of Third- and Fourth-Order Singular Perturbation Problems
    Gülsemay Yiğit
    Mustafa Bayram
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2020, 90 : 429 - 436