Nonlinear Oscillations
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Continuous solutions of systems of nonlinear difference equations with continuous argument and their properties
Nonlinear Oscillations - Tập 10 - Trang 169-175 - 2007
We obtain sufficient conditions for the existence and uniqueness of continuous N-periodic solutions (N is a positive integer number) for a certain class of systems of nonlinear difference equations with continuous argument and study their properties.
On the structure of the set of continuously differentiable solutions of one boundary-value problem for a system of functional differential equations of neutral type
Nonlinear Oscillations - Tập 10 - Trang 278-291 - 2007
We study the structure of the set of solutions, continuously differentiable for t ∈ R
+ = [0; + ∞), of one limit problem for systems of nonlinear functional differential equations of neutral type with nonlinear deviations of argument that depend on an unknown function.
Technical Stability of Nonlinear Spatial Dynamic States of Continuous Systems in the Case of Their Interaction with a Flow of a Liquid
Nonlinear Oscillations - Tập 5 - Trang 39-52 - 2002
Invariant Sets of Systems of Stochastic Differential Equations with Jumps
Nonlinear Oscillations - Tập 8 - Trang 233-239 - 2005
We introduce the notion of invariant surfaces for inhomogeneous stochastic differential equations with jumps. The results obtained enable one to determine invariant surfaces for stochastic differential equations of the type indicated.
Boundedness of Solutions of Certain Volterra Systems in a Finite-Dimensional Space
Nonlinear Oscillations - Tập 6 - Trang 32-39 - 2003
We give conditions for the boundedness and periodicity of solutions of Volterra systems with matrix coefficients. The conditions are formulated in terms of the coefficients of these systems.
On the minimal speed of traveling waves for a nonlocal delayed reaction–diffusion equation
Nonlinear Oscillations - Tập 13 - Trang 1-9 - 2010
In this note, we give constructive upper and lower bounds for the minimal speed of propagation of traveling waves for a nonlocal delayed reaction–diffusion equation.
On serial posets with positive-definite quadratic Tits form
Nonlinear Oscillations - Tập 9 - Trang 312-316 - 2006
We describe all serial posets with positive-definite quadratic Tits form and prove that any poset of order greater than 7 with positive-definite Tits form is serial.
Topological entropy of a dynamical system on the space of one-dimensional maps
Nonlinear Oscillations - Tập 7 - Trang 179-186 - 2004
We study properties of the topological entropy of the map F: φ ↦ f ○ φ, φ ∈ C(I), generated by a fixed continuous map f ∈ C(I) of an interval of the straight line. In particular, we show that the topological entropy h(F) > 0 if and only if h(f) > 0.
On the Existence and Asymptotics of a Periodic Solution of a Degenerate Singularly Perturbed System of Differential Equations in the Case of Multiple Elementary Divisors
Nonlinear Oscillations - Tập 5 - Trang 114-131 - 2002
We consider a linear inhomogeneous singularly perturbed system of differential equations with ω-periodic coefficients and identically degenerate matrix with the derivative. We establish sufficient conditions for the existence and uniqueness of an ω-periodic solution of this system in the case where the main pencil of matrices has multiple spectrum. We construct asymptotics of this solution.
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