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Showing 1-20 of 7,451 results

  1. The Cauchy Problem for the Degenerate Beam Vibration Equation

    We study the Cauchy problem for a degenerate differential equation of beam vibrations. Using the generalized Erdélyi–Kober operator, possessing the...

    Sergey Sitnik, Shakhobiddin Karimov, Yorkinoy Tulasheva in Journal of Mathematical Sciences
    Article 19 December 2023

  2. Periodic solutions of a beam equation with jum** nonlinearity

    In this paper, we investigate periodic solutions of a beam equation with jum** nonlinearity. Such a nonlinearity describes the restoring force...

    Xue Sun, Shuguan Ji in Computational and Applied Mathematics
    Article 31 March 2024

  3. Inverse Source Problem for the Equation of Forced Vibrations of a Beam

    Abstract

    Direct and inverse problems for the equation of forced vibrations of a finite length beam with a variable stiffness coefficient at the lowest...

    U. D. Durdiev in Russian Mathematics
    Article 01 August 2023

  4. A Time-Nonlocal Inverse Problem for the Beam Vibration Equation with an Integral Condition

    Abstract

    We study the direct problem for transverse vibrations of a homogeneous beam of finite length with time-nonlocal conditions and obtain...

    U. D. Durdiev in Differential Equations
    Article 01 March 2023

  5. Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation

    This paper is devoted to the proof of almost global existence results for the d -dimensional beam equation with derivative nonlinear perturbation by...

    **aoqing Wu, Juan Zhao in Qualitative Theory of Dynamical Systems
    Article 18 December 2023

  6. Inverse Problem of Determining the Unknown Coefficient in the Beam Vibration Equation in an Infinite Domain

    Abstract

    For the equation of transverse vibrations of a homogeneous beam, we consider the direct initial value problem in an infinite domain and...

    U. D. Durdiev in Differential Equations
    Article 01 April 2023

  7. Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation with a Simply Supported Boundary Conditions

    In this paper, we develop a fourth-order compact finite difference method to numerically solve a fourth-order parabolic differential equation that...

    My Driss Aouragh, Yassin Khali, ... M’hamed Segaoui in International Journal of Applied and Computational Mathematics
    Article 20 December 2023

  8. Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects

    Abstract

    Beam vibrations with allowance for deformation effects in the transverse direction are modeled using a nonlinear Sobolev-type differential...

    Kh. G. Umarov in Computational Mathematics and Mathematical Physics
    Article 01 November 2023

  9. Periodic Solutions to the Vibration Equation of a Beam with a Rigidly Clamped Endpoint and an Elastically Fixed Endpoint

    We study the problem of finding a time-periodic solution to the Euler–Bernoulli quasilinear equation describing vibrations of a beam subject to...

    I. A. Rudakov in Journal of Mathematical Sciences
    Article 01 March 2023

  10. Existence of Solutions to Nonlinear Fourth-Order Beam Equation

    This paper studies the boundary value problem for a fourth-order difference equation with three quasidifferences. The new existence criterion of at...

    Urszula Ostaszewska, Ewa Schmeidel, Małgorzata Zdanowicz in Qualitative Theory of Dynamical Systems
    Article Open access 26 April 2023

  11. Nonlocal Inverse Problem for Determining the Unknown Coefficient in the Beam Vibration Equation

    Abstract

    The paper is devoted to the study of the direct problem for the vibration of a homogeneous beam of finite length with nonlocal time...

    U. D. Durdiev, Z. R. Bozorov in Journal of Applied and Industrial Mathematics
    Article 01 June 2023

  13. Infinitely many periodic solutions for the quasi-linear Euler–Bernoulli beam equation with fixed ends

    We consider the periodic solutions of the quasi-linear Euler–Bernoulli equation arising from the forced vibrations of an I-beam with hard-wired ends....

    Shuguan Ji, Igor A. Rudakov in Calculus of Variations and Partial Differential Equations
    Article 07 January 2023

  14. Inverse Problem of Determining an Unknown Coefficient in the Beam Vibration Equation

    Abstract

    We consider the direct initial–boundary value problem for the equation of transverse vibrations of a homogeneous beam freely supported at...

    U. D. Durdiev in Differential Equations
    Article 01 January 2022

  15. Minimax optimal control problems for an extensible beam equation with uncertain initial velocity

    This paper is devoted to the problem of minimax optimal control problems of an extensible beam equation with distributed controls and initial...

    **-soo Hwang in Boundary Value Problems
    Article Open access 11 July 2023

  18. On the Existence of Countably Many Periodic Solutions of a Boundary Value Problem for the Beam Vibration Equation with Homogeneous Boundary Conditions

    Abstract

    The existence of infinitely many periodic solutions of the quasilinear beam vibration equation is proved for the case in which the nonlinear...

    I. A. Rudakov in Differential Equations
    Article 01 August 2022

  19. Approximate Solutions to Euler–Bernoulli Beam Type Equation

    This article deals with Euler–Bernoulli beam type equation subject to initial and boundary conditions. Semigroup theory of bounded linear operators,...

    Md. Maqbul, Nishi Gupta in Mediterranean Journal of Mathematics
    Article 03 September 2021
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