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Displaying 21 – 40 of 96

A Uniformly Convergent Difference Scheme for a Semilinear Singular Perturbation Problem.

Koichi Niijima (1984)

Numerische Mathematik

A uniformly convergent quadratic spline difference scheme for singular perturbation problems

M. Stojanović (1987)

Matematički Vesnik

A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential

Jan Janas, Sergey Simonov (2010)

Studia Mathematica

We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.

A WKB analysis of the Alfvén spectrum of the linearized magnetohydrodynamics equations

Manuel Núñez, Jesús Rojo (1993)

Applications of Mathematics

Small perturbations of an equilibrium plasma satisfy the linearized magnetohydrodynamics equations. These form a mixed elliptic-hyperbolic system that in a straight-field geometry and for a fixed time frequency may be reduced to a single scalar equation div $(A_{1} Δ_{u}) + A_{2} u = 0$ , where $A_{1}$ may have singularities in the domaind $U$ of definition. We study the case when $U$ is a half-plane and $u$ possesses high Fourier components, analyzing the changes brought about by the singularity $A_{1} = \infty$ . We show that absorptions of energy takes...

Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition

S. D. Wray (1982)

Czechoslovak Mathematical Journal

Addendum to a paper of Craig and Goodman.

Gorman, Arthur D. (1994)

International Journal of Mathematics and Mathematical Sciences

Almost everywhere convergence of the inverse Jacobi transform and endpoint results for a disc multiplier

Troels Roussau Johansen (2011)

Studia Mathematica

The maximal operator S⁎ for the spherical summation operator (or disc multiplier) $S_{R}$ associated with the Jacobi transform through the defining relation $\hat{S_{R} f} (λ) = 1_{| λ | \leq R} f ̂ (t)$ for a function f on ℝ is shown to be bounded from $L^{p} (ℝ ₊, d μ)$ into $L^{p} (ℝ, d μ) + L ² (ℝ, d μ)$ for (4α + 4)/(2α + 3) < p ≤ 2. Moreover S⁎ is bounded from $L^{p ₀, 1} (ℝ ₊, d μ)$ into $L^{p ₀, \infty} (ℝ, d μ) + L ² (ℝ, d μ)$ . In particular ${S_{R} f (t)}_{R > 0}$ converges almost everywhere towards f, for $f \in L^{p} (ℝ ₊, d μ)$ , whenever (4α + 4)/(2α + 3) < p ≤ 2.

Almost Periodic Solutions of Singularly Perturbed Systems of Differential Equations with Impulse Effect.

Maria A. Hekimova, Drumi D. Bainov (1989)

Forum mathematicum

An algorithmic determination of optimal measure from data and some applications.

Agbeko, N.K., Házy, A. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

An Analysis and Improvement of the El~mistikawy and Werle Scheme

Katarina Surla, Zorica Uzelac (1993)

Publications de l'Institut Mathématique

An elementary proof of asymptotic behavior of solutions of U" = VU

Sobajima, Motohiro, Metafune, Giorgio (2017)

Proceedings of Equadiff 14

We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.

An equivalence theorem concerning population growth in a variable environment.

Redheffer, Ray, Vance, Richard R. (2003)

International Journal of Mathematics and Mathematical Sciences

An existence theorem for certain solutions of algebraic differential equations in sectors

Steven B. Bank (1974)

Rendiconti del Seminario Matematico della Università di Padova

An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms

José Cano (1993)

Annales de l'institut Fourier

We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.

An Improved Boundary Layer Estimate for a Singularly Perturbed Initial Value Problem.

Frederick A. Howes (1979)

Mathematische Zeitschrift

An ODE-Solver Based on the Method of Averaging.

U. Kirchgraber (1988)

Numerische Mathematik

Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry

Alexander D. Bruno (2011)

Banach Center Publications

Here we present basic ideas and algorithms of Power Geometry and give a survey of some of its applications. In Section 2, we consider one generic ordinary differential equation and demonstrate how to find asymptotic forms and asymptotic expansions of its solutions. In Section 3, we demonstrate how to find expansions of solutions to Painlevé equations by this method, and we analyze singularities of plane oscillations of a satellite on an elliptic orbit. In Section 4, we consider the problem of local...

Currently displaying 21 – 40 of 96

Previous Page 2 Next

Displaying 21 – 40 of 96

A Uniformly Convergent Difference Scheme for a Semilinear Singular Perturbation Problem.

A uniformly convergent quadratic spline difference scheme for singular perturbation problems

A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential

A WKB analysis of the Alfvén spectrum of the linearized magnetohydrodynamics equations

Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition

Addendum to a paper of Craig and Goodman.

Almost everywhere convergence of the inverse Jacobi transform and endpoint results for a disc multiplier

Almost Periodic Solutions of Singularly Perturbed Systems of Differential Equations with Impulse Effect.

An algorithmic determination of optimal measure from data and some applications.

An Analysis and Improvement of the El~mistikawy and Werle Scheme

An elementary proof of asymptotic behavior of solutions of U" = VU

An equivalence theorem concerning population growth in a variable environment.

An existence theorem for certain solutions of algebraic differential equations in sectors

An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms

An Improved Boundary Layer Estimate for a Singularly Perturbed Initial Value Problem.

An ODE-Solver Based on the Method of Averaging.

Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry

Analytical approximation to solutions of singularly perturbed boundary value problems.

Application of uniform asymptotics to the fifth Painlevé transcendent.

Applications of the method of barriers. II: Some singularly perturbed problems.

Currently displaying 21 – 40 of 96