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Finite difference approximation of eigenvibrations of a cantilever beam with elastically attached load at infinity. To the sequence of eigenvalues there corresponds a system of normalized eigenfunctions

ВЫЧИСЛЕНИЕ ВЕДУЩЕГО СОБСТВЕННОГО ЗНАЧЕНИЯ НЕЛИНЕЙНОЙ ЗАДАЧИ ШТУРМА-ЛИУВИЛЛЯ С ВЫРОЖДЕНИЕМ eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation with degenerate

Error estimates of the finite difference method for eigenvalue problems with nonlinear entrance of the spectral parameter correspond to a normalized system of eigenfunctions. The original differential nonlinear eigenvalue problem

Error estimates of the quadrature finite element method with biquadratic finite elements for elliptic eigenvalue problems in the square domain, there corresponds an orthonormal system of eigenfunctions. The original differential eigenvalue problem

Linear problems and Bäcklund transformations for the Hirota-Ohta system hierarchy. The squared eigenfunction constraints are found which relate Hirota-Ohta and Kulish

The conic-gearing image of a complex number and a spinor-born surface geometry, the Hamiltonian for the Pauli equation automatically emerges in a space with Q-metric. The eigenfunction method

Eigenvibrations of a simply supported beam with elastically attached load is established. To the sequence of eigenvalues, there corresponds a system of normalized eigenfunctions

Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation and estimates of continuity moduli of their eigenvalues/eigenfunctions are obtained provided the boundary

Finite element modeling of eigenvibrations of a bar with an elastically attached load, there corresponds a system of normalized eigenfunctions. The initial nonlinear differential eigenvalue problem

Scheme of the finite element method with multiplicative separation of the singularity for a spectral boundary value problem for a degenerate differential operator on the multiplicative separation of the singularity, whereby the eigenfunctions are approximated by piecewise linear

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