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Asymptotic representations of solutions of the nonautonomous ordinary differential nth order equations

Asymptotic representations of some classes of solutions of nonautonomous ordinary differential n-th order equations which somewhat are close to linear equations are established.

CONSTANT JACOBI OSCULATING RANK OF U(3)/(U(1)×U(1)×U(1))

In this paper we obtain an interesting relation between the covariant derivatives of the Jacobi operator valid for all geodesic on the flag manifold M6 = U(3)/(U(1) × U(1) × U(1)). As a consequence,… Expand

Dynamical Systems with Several Equilibria and Natural Liapunov Functions

- Archivum Mathematicum, V. Răsvan
- Chemistry
- 2010

Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many… Expand

Archivum Mathematicum Özkan Öcalan Linearized Oscillation of Nonlinear Difference Equations with Advanced Arguments

This paper is concerned with the nonlinear advanced difference equation with constant coefficients

Cauchy problem for first order linear differential equations with a deviating argument

Conditions for the existence and uniqueness of a solution of the Cauchy problem u′(t) = p(t)u(τ(t)) + q(t) , u(a) = c , established in [2], are formulated more precisely and refined for the special… Expand

Singular φ-Laplacian third-order BVPs with derivative dependance

A NOTE ON LINEAR PERTURBATIONS OF OSCILLATORY SECOND ORDER DIFFERENTIAL EQUATIONS

Under suitable hypotheses on γ(t), λ(t), q(t) we prove some stability results which relate the asymptotic behavior of the solutions of u′′ + γ(t)u′ + ( q(t) + λ(t) ) u = 0 to the asymptotic behavior… Expand

Infinitesimal CR automorphisms for a class of polynomial models

In this paper we study infinitesimal CR automorphisms of Levi degenerate hypersurfaces. We illustrate the recent general results of [18], [17], [15], on a class of concrete examples, polynomial… Expand

Batalin-Vilkovisky algebras ; algebraic , geometric , and physical aspects

We shall give a survey of classical examples, together with algebraic methods to deal with those structures: graded algebra, cohomologies, cohomology operations. The corresponding geometric… Expand

Archivum Mathematicum Dobiesław Bobrowski Linear boundary value problem in Banach space with random element in two-point boundary condition

The paper contains probabilistic characterization of a mild sample path solution of a linear two-point boundary value problem with a random element in the boundary condition. J

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