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Displaying 1021 – 1040 of 1670

On the Lyapunov exponent and exponential dichotomy for the quasi-periodic Schrödinger operator

R. Fabbri (2002)

Bollettino dell'Unione Matematica Italiana

In this paper we study the Lyapunov exponent $β (E)$ for the one-dimensional Schrödinger operator with a quasi-periodic potential. Let $Γ \subset R^{k}$ be the set of frequency vectors whose components are rationally independent. Let $Γ \subset R^{k}$ , and consider the complement in $Γ C^{r} (T^{k})$ of the set $D$ where exponential dichotomy holds. We show that $β = 0$ is generic in this complement. The methods and techniques used are based on the concepts of rotation number and exponential dichotomy.

On the mathematical and numerical modelling of electron beams

Raviart, P.-A. (1990)

Equadiff 7

On the mathematical and numerical study of non-viscous axially symmetric channel flows

Feistauer, Miloslav (1982)

Equadiff 5

On the Mayer problem. I: General principles

Veronika Chrastinová, Václav Tryhuk (2002)

Mathematica Slovaca

On the Mayer problem. II: Examples

Veronika Chrastinová, Václav Tryhuk (2002)

Mathematica Slovaca

On the meromorphic solutions of a certain type of nonlinear difference-differential equation

Sujoy Majumder, Lata Mahato (2023)

Mathematica Bohemica

The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation $f^{n} (z) + P_{d} (z, f) = p_{1} (z) e^{α_{1} (z)} + p_{2} (z) e^{α_{2} (z)},$ where $P_{d} (z, f)$ is a difference-differential polynomial in $f (z)$ of degree $d \leq n - 1$ with small functions of $f (z)$ as its coefficients, $p_{1}$ , $p_{2}$ are nonzero rational functions and $α_{1}$ , $α_{2}$ are non-constant polynomials. More precisely, we find out the conditions for ensuring the existence of meromorphic solutions of the above equation.

On the method of Esclangon

Ján Andres, Tomáš Turský (1996)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On the method of successive approximations for the J. L. Synge electromagnetic two-body problem.

Angelov, Vasil G. (2003)

Applied Mathematics E-Notes [electronic only]

On the method of the solution of elasticity theory problem for the inhomogeneous and anisotropic body

Sarkisyan, Vladimir S. (1982)

Equadiff 5

On the method of upper and lower solutions in abstract cones

V. Lakshmikantham, S. Leela (1983)

Annales Polonici Mathematici

On the mild solutions of higher-order differential equations in Banach spaces.

Lan, Nguyen Thanh (2003)

Abstract and Applied Analysis

On the modified boundary value problem of de la Vallée-Poussin for nonlinear ordinary differential equations.

Tskhovrebadze, G. (1994)

Georgian Mathematical Journal

On the monotonicity of nonnegative solutions and the uniqueness of eigenvalues

Philip Hartman (1983)

Annales Polonici Mathematici

On the monotonicity of solutions of certain types of functional-differential equations

Józef Kalinowski (1984)

Časopis pro pěstování matematiky

On the monotonicity of the period function of some second order equations

Shui-Nee Chow, Duo Wang (1986)

Časopis pro pěstování matematiky

On the monotonicity of the quotient of certain abelian integrals.

Lee, Min Ho (1993)

International Journal of Mathematics and Mathematical Sciences

On the Morgan problem with stability

Javier Ruiz, Petr Zagalak, Vasfi Eldem (1996)

Kybernetika

On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations

Malkhaz Ashordia (2021)

Mathematica Bohemica

We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value problems, i.e. the corresponding general difference schemes. We establish the effective necessary and sufficient (and effective sufficient) conditions for the convergence of the schemes. Moreover, we consider the stability of the solutions of general...

On the Nehari solutions

Gritsans, Armands, Sadyrbaev, Felix Zh. (2007)

Proceedings of Equadiff 11

On the nodal set of eigenfunctions

Ruf, B (1990)

Equadiff 7

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