Results 271 to 280 of about 493,106 (301)

On existence and uniqueness of solutions of a class of perturbed second order evolution equations

Systems & Control Letters, 1991
An abstract second order differential equation with two linear operators is considered. Existence and uniqueness of the solution is proved and eigenvalues are estimated when the perturbation operator satisfies new conditions. These conditions are fulfilled for the dynamic model of a flexible beam attached to a moving base.
openaire   +1 more source

Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument

Differential Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ni, Mingkang, Guseva, I. S.
openaire   +1 more source

Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point

Communications in Nonlinear Science and Numerical Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Jianhe, Han, Maoan
openaire   +2 more sources

Localization and Perturbation of Complex Zeros of Solutions to Second Order Differential Equations with Polynomial Coefficients. A Survey

2021
This paper is a survey of the recent results of the author on the complex zeros of solutions to linear homogeneous second order ordinary differential equations with polynomial coefficients. In particular, estimates for the sums and products of the zeros are derived.
openaire   +1 more source

Analytic energy second derivatives for general correlated wavefunctions, including a solution of the first-order coupled-perturbed configuration-interaction equations

Chemical Physics Letters, 1983
Abstract The first theoretical method for the analytic determination of energy second derivatives for configuration-interaction wave-functions is presented. Several test cases are reported, the largest being an 8385 configuration formaldehyde wavefunction.
Douglas J. Fox, Yoshihiro Osamura, Mark R. Hoffmann, Jeffrey F. Gaw, George Fitzgerald, Yukio Yamaguchi, Henry F. Schaefer   +6 more
openaire   +1 more source

On the Stability of the Zero Solution of a Second-Order Differential Equation under a Periodic Perturbation of the Center

Vestnik St. Petersburg University, Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems

International Journal of Computer Mathematics, 2009
In this paper, we consider the finite difference hybrid scheme constructed by Natesan et al. for obtaining uniformly convergent global solution and uniformly convergent normalized flux for self-adjoint singularly perturbed boundary value problems. The global solution is obtained from the numerical solution at the mesh points of this scheme, having ...
C. Clavero, R. K. Bawa, S. Natesan
openaire   +1 more source

A second order perturbation solution of a slightly branched and curved crack and its application to crack path prediction

Journal of the Society of Naval Architects of Japan, 1989
Perturbation analyses for slightly non-colinear and quasi-static crack extension were first performed by Banichuk (1970), and Goldstein and Salganik (1970, 1974) with the use of Muskhelishvili's complex potentials. Having obtained a rather simple expression of stress intensity factors, Cotterell and Rice (1980) examine the crack growth path of a semi ...
openaire   +1 more source

Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy

Ukrainian Mathematical Journal, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Experiments with a local adaptive grid h-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources