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This paper gives necessary and sufficient conditions for subgroups with trivial core to be of odd depth. We show that a subgroup with trivial core is an odd depth subgroup if and only if certain induced modules from it are faithful. Algebraically this gives a combinatorial condition that has to be satisfied by the subgroups with trivial core in order to be subgroups of a given odd depth. The condition can be expressed as a certain matrix with ${0, 1}$ -entries to have maximal rank. The entries of the matrix...

Subharmonic solutions for hamiltonian systems via a $ℤ_{p}$ pseudoindex theory

Gabriella Tarantello (1988)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Subharmonic solutions of a nonconvex noncoercive hamiltonian system

Najeh Kallel, Mohsen Timoumi (2004)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper we study the existence of subharmonic solutions of the hamiltonian system $J \dot{x} + u^{*} \nabla G (t, u (x)) = e (t)$ where $u$ is a linear map, $G$ is a $C^{1}$ -function and $e$ is a continuous function.

Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

Najeh Kallel, Mohsen Timoumi (2010)

RAIRO - Operations Research

In this paper we study the existence of subharmonic solutions of the Hamiltonian system $J \dot{x} + u^{*} \nabla G (t, u (x)) = e (t)$ where u is a linear map, G is a C1-function and e is a continuous function.

Subharmonics near an equilibrium point for Hamiltonian systems.

Patricio L. Felmer (1990)

Manuscripta mathematica

Sufficient and necessary condition for the permanence of periodic predator-prey system.

Cui, Jingan, Song, Xinyu (2004)

International Journal of Mathematics and Mathematical Sciences

Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument

D. Bainov, M. Dimitrova (1996)

Applicationes Mathematicae

Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.

Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument.

Bainov, D.D., Dimitrova, M.B. (1996)

Journal of Applied Mathematics and Stochastic Analysis

Sufficient conditions for the existence of a center in polynomial systems of arbitrary degree.

Hector Giacomini, Malick Ndiaye (1996)

Publicacions Matemàtiques

In this paper, we consider polynomial systems of the form x' = y + P(x, y), y' = -x + Q(x, y), where P and Q are polynomials of degree n wihout linear part.For the case n = 3, we have found new sufficient conditions for a center at the origin, by proposing a first integral linear in certain coefficient of the system. The resulting first integral is in the general case of Darboux type.By induction, we have been able to generalize these results for polynomial systems of arbitrary degree.

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Studio asintotico del moto di un punto su una linea chiusa, per azione di forze indipendenti dal tempo

Studium des Resonanzfalles bei gewöhnlichen linearen reduzierten Differentialgleichungen mit periodischen Koeffizienten

Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.

Sturmian theorems for systems of differential equations.

Sturmian theory and transformations for the Riccati equation

Sturm-Picone comparison theorem of second-order linear equations on time scales.

Sturm's theorem for equations with delayed argument.

Su alcuni criteri di oscillazione per le equazioni differenziali lineari del secondo ordine

Subgroups of odd depth—a necessary condition