Results 1 to 10 of about 430 (144)
Karpatsʹkì Matematičnì Publìkacìï, 2014 With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed.
O.V. Makhnei
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
Papers in Physics, 2010 This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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Cumhuriyet Science Journal, 2023 In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition.
Yaşar Çakmak
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Современная математика: Фундаментальные направления, 2021 This work, which can be considered as a small monograph, is devoted to the study of twoand three-dimensional boundary-value problems for eigenvalues of the Laplace operator with frequently alternating type of boundary conditions.
D. I. Borisov
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Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem
Mathematical Modelling and Analysis, 2021 In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Erdoğan Şen, Artūras Štikonas
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Mathematical Modelling and Analysis, 2023 In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends
Современные информационные технологии и IT-образование, 2020 The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
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Современная математика: Фундаментальные направления, 2020 We consider one-dimensional Dirac operatorLP,U with Birkhoff regular boundary conditions and summable potential P(x) on[0, π]. We introduce strongly and weakly regular operators. In both cases, asymptotic formulas for eigenvalues are found.
A. M. Savchuk, I. V Sadovnichaya
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