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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
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 manyExpand
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 specialExpand
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 behaviorExpand
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, polynomialExpand
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 geometricExpand
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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