[HTML][HTML] Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems

RK Lodhi, HK Mishra - Ain Shams Engineering Journal, 2018 - Elsevier
In the present paper, we develop a septic B-spline method for solving a self-adjoint
singularly perturbed two-point boundary value problem. This method is applied directly to …

Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions

B Moletsane, B Zinsou - Boundary Value Problems, 2017 - Springer
Fourth order eigenvalue problems with periodic and separated boundary conditions are
considered. One of the separated boundary conditions depends linearly on the eigenvalue …

[PDF][PDF] New canonical forms of self-adjoint boundary conditions for regular differential operators of order four

Q Bao, J Sun, X Hao, A Zettl - J. Appl. Anal. Comput, 2019 - jaac-online.com
In this paper, we find new canonical forms of self-adjoint boundary conditions for regular
differential operators of order two and four. In the second order case the new canonical form …

Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems

B Zinsou - Differential Equations and Dynamical Systems, 2024 - Springer
A regular fourth order differential equation which depends quadratically on the eigenvalue
parameter λ λ is considered with classes of separable boundary conditions, where exactly …

Fourth-order Birkhoff regular problems with eigenvalue parameter dependent boundary conditions

B Zinsou - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
A regular fourth-order differential equation that depends quadratically on the eigenvalue
parameter $\lambda $ is considered with classes of separable boundary conditions …

Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems

B Zinsou - Arabian Journal of Mathematics, 2023 - Springer
Fourth order problems with the differential equation y (4)-(gy′)′= λ 2 y, where g∈ C 1 [0,
a] and a> 0, occur in engineering on stability of elastic rods. They occur as well in …

Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions

B Moletsane, B Zinsou - 2023 - projecteuclid.org
Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent
and periodic boundary condition Page 1 Asymptotics of the eigenvalues of a fourth order …

Canonical forms for boundary conditions of self-adjoint differential operators

Y Hardy, B Zinsou - arXiv preprint arXiv:2109.13379, 2021 - arxiv.org
Canonical forms of boundary conditions are important in the study of the eigenvalues of
boundary conditions and their numerical computations. The known canonical forms for self …

Stability of a flexible missile described by asymptotics of the eigenvalues of fourth order boundary value problems

B Zinsou - arXiv preprint arXiv:2110.02306, 2021 - arxiv.org
Fourth order problems, with the differential equation $ y^{(4)}-(gy')'=\lambda^ 2y $, where $
g\in C^ 1 [0, a] $ and $ a> 0$, occur in engineering on stability of elastic rods. They occur as …