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Displaying 1001 – 1020 of 1662

On the leading correction of the Thomas-Fermi model: Lower bound.

Heinz Siedentop, Rudi Weikard (1989)

Inventiones mathematicae

On the limit cycle of the Liénard equation

Kenzi Odani (2000)

Archivum Mathematicum

In the paper, we give an existence theorem of periodic solution for Liénard equation $\dot{x} = y - F (x)$ , $\dot{y} = - g (x)$ . As a result, we estimate the amplitude $ρ (μ)$ (maximal $x$ -value) of the limit cycle of the van der Pol equation $\dot{x} = y - μ (x^{3} / 3 - x)$ , $\dot{y} = - x$ from above by $ρ (μ) < 2.3439$ for every $μ \neq 0$ . The result is an improvement of the author’s previous estimation $ρ (μ) < 2.5425$ .

On the limit cycle of the van der Pol equation

Odani, Kenzi (1998)

Proceedings of Equadiff 9

On the Limit Point Classification of Second Order Differential Equations.

James S.W. Wong, Anton Zettl (1973)

Mathematische Zeitschrift

On the limit-3 classification of the square of a second-order, linear differential expression

William Norrie Everitt, Magnus Giertz (1976)

Czechoslovak Mathematical Journal

On the Limit-Point and Strong Limit-Point Classification of 2 n-th Order Differential Expressions with Widly Oscillating Coefficients.

B. Malcom Brown, W. Desmond Evans (1973)

Mathematische Zeitschrift

On the limits of solutions of functional differential equations

Mihály Pituk (1993)

Mathematica Bohemica

Our aim in this paper is to obtain sufficient conditions under which for every $ξ \in R^{n}$ there exists a solution $x$ of the functional differential equation $\dot{x} (t) = \int_{c}^{t} [d_{s} Q (t, s)] f (t, x (s)), t \in [t_{0}, T]$ such that $l i m_{t \to T -} x (t) = ξ$ .

On the linearization of second-order differential and difference equations.

Dorodnitsyn, Vladimir (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On the linearized stability of age-structured multispecies populations.

Farkas, Jozsef Z. (2006)

Journal of Applied Mathematics

On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts.

De La Sen, M., Jugo, J. (2004)

Journal of Applied Mathematics

On the Liouville-type transformation for differential systems

Ondřej Došlý (1987)

Mathematica Slovaca

On the local spectral radius in partially ordered Banach spaces

Mirosława Zima (1999)

Czechoslovak Mathematical Journal

On the Location of Zeros of Solutions of f'' + A(z)f = 0 where A(z) is Entire.

Shengjian Wu (1994)

Mathematica Scandinavica

On the location of zeros of solutions of non-homogeneous linear differential equations

Steven B. Bank (1994)

Rendiconti del Seminario Matematico della Università di Padova

On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems

Sabine Pickenhain, Valeriya Lykina, Marcus Wagner (2008)

Control and Cybernetics

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.

Currently displaying 1001 – 1020 of 1662