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
N. A. Bohai
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
H. P. Pelyukh, A. V. Vel’hach
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.
Estimates for Some Functionals for Open Sets
Nonlinear Oscillations - Tập 8 - Trang 145-151 - 2005
A. K. Bakhtin
We solve new extremal problems of nonoverlapping domains with free poles on rays. Similar results are obtained for open sets.
Invariant Sets of Systems of Stochastic Differential Equations with Jumps
Nonlinear Oscillations - Tập 8 - Trang 233-239 - 2005
H. L. Kulinich, S. V. Kushnirenko
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
M. F. Horodnii
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
M. Aguerrea, G. Valenzuela
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
V. M. Bondarenko, M. V. Stepochkina
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 classification of affine mappings from ℝ2 into ℝ2
Nonlinear Oscillations - - 2008
T. V. Budnyts’ka
Topological entropy of a dynamical system on the space of one-dimensional maps
Nonlinear Oscillations - Tập 7 - Trang 179-186 - 2004
S. F. Kolyada
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.
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