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Displaying 61 – 80 of 95

Nonoscillatory solutions of differential equations with deviating argument

Valter Šeda (1986)

Czechoslovak Mathematical Journal

Nonoscillatory solutions of $n$ th order nonlinear differential equation

Jozef Rovder (1982)

Časopis pro pěstování matematiky

Nonrectifiable oscillatory solutions of second order linear differential equations

Takanao Kanemitsu, Satoshi Tanaka (2017)

Archivum Mathematicum

The second order linear differential equation ${(p (x) y^{'})}^{'} + q (x) y = 0, x \in (0, x_{0}]$ is considered, where $p$ , $q \in C^{1} (0, x_{0}]$ , $p (x) > 0$ , $q (x) > 0$ for $x \in (0, x_{0}]$ . Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near $x = 0$ without the Hartman–Wintner condition.

Nonresonance conditions for fourth order nonlinear boundary value problems.

de Coster, C., Fabry, C., Munyamarere, F. (1994)

International Journal of Mathematics and Mathematical Sciences

Non-resonance of the first two eigenvalues of a quasilinear problem. (Non-résonance entre les deux premières valeurs propres d'un problème quasi-linéaire.)

El Amrouss, A.R., Moussaoui, M. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Nontrivial periodic solutions for strong resonance hamiltonian systems

K. C. Chang, J. Q. Liu, M. J. Liu (1997)

Annales de l'I.H.P. Analyse non linéaire

Nontrivial periodic solutions of asymptotically linear Hamiltonian systems.

Fei, Guihua (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonwandering points and the set of central motions in discontinuous disperse dynamic systems

И.А. Чиркова (1986)

Matematiceskie issledovanija

Normal forms for certain singularities of vectorfields

Floris Takens (1973)

Annales de l'institut Fourier

$C^{\infty}$ normal forms are given for singularities of $C^{\infty}$ vectorfields on $R$ , which are not flat, and for $C^{\infty}$ vectorfields $X$ on $R^{2}$ with $X (0) = 0$ , the 1-jet of $X$ in the origin is a pure rotation, and some higher order jet of $X$ attracting or expanding.

Normal forms for singularities of one dimensional holomorphic vector fields.

Garijo, Antonio, Gasull, Armengol, Jarque, Xavier (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation

Eric Lombardi, Laurent Stolovitch (2010)

Annales scientifiques de l'École Normale Supérieure

In this article, we study germs of holomorphic vector fields which are “higher order” perturbations of a quasihomogeneous vector field in a neighborhood of the origin of $ℂ^{n}$ , fixed point of the vector fields. We define a “Diophantine condition” on the quasihomogeneous initial part $S$ which ensures that if such a perturbation of $S$ is formally conjugate to $S$ then it is also holomorphically conjugate to it. We study the normal form problem relatively to $S$ . We give a condition on $S$ that ensures that there...

Normal forms with exponentially small remainder and Gevrey normalization for vector fields with a nilpotent linear part

Patrick Bonckaert, Freek Verstringe (2012)

Annales de l’institut Fourier

We explore the convergence/divergence of the normal form for a singularity of a vector field on $ℂ^{n}$ with nilpotent linear part. We show that a Gevrey- $α$ vector field $X$ with a nilpotent linear part can be reduced to a normal form of Gevrey- $1 + α$ type with the use of a Gevrey- $1 + α$ transformation. We also give a proof of the existence of an optimal order to stop the normal form procedure. If one stops the normal form procedure at this order, the remainder becomes exponentially small.

Normal modes of a lagrangian system constrained in a potential well

V. Benci (1984)

Annales de l'I.H.P. Analyse non linéaire

Normalization of Poincaré singularities via variation of constants.

Timoteo Carletti, Alessandro Margheri, Massimo Villarin (2005)

Publicacions Matemàtiques

We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size of the convergence domain of the linearizing transformation to the geometry of the complex foliation associated to the vector field.

Currently displaying 61 – 80 of 95