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Перегляд Нелінійні коливання, 2003, том 6 за назвою

Перегляд Нелінійні коливання, 2003, том 6 за назвою

Результати 1-20 з 43

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Determination of an exact solution to the integral Gelfand - Levitan - Marchenko equation for the Sturm - Liouville operators with the step-type potential

Revenko, V.P. (Нелінійні коливання, 2003)

A method for solving the integral Gelfand – Levitan – Marchenko (GLM) equation for the Sturm – Liouville operator with a step-type potential is obtained. The scattering function is found explicitly. An associated system ...
Determination of the boundaries between the domains of stability and instability for the Hill's equation

Grebenikov, E.A.; Prokopenya, A.N. (Нелінійні коливання, 2003)

Stability problem for the Hill’s equation containing two parameters is analyzed with computer algebra system M athematica. The characteristic constant is found as a series expansion in powers of a small parameter e. ...
Existence of positive solutions for the singular equation (φp(y'))' + g(t, y, y') = 0

Haishen, Lu; O'Regan, D.; Chengkui Zhong (Нелінійні коливання, 2003)

Two theorems concerning the existence of positive solutions for the singular equation (φp(y'))'+g(t, y, y') = 0, y(0) = y(1) = 0, are presented. The results are obtained by using the nonlinear alternative of Leray – Schauder ...
Existence, uniqueness, and asymptotic stability for a thermoelastic plate

Amendola, G. (Нелінійні коливання, 2003)

In this note we are concerned with the linear theory of a thermoelastic plate when a rate-type equation is assumed for the heat flux. We consider an initial boundary-value problem for this plate and show the existence, ...
Generalized Euler method for nonlinear first order partial differential equations

Kamont, Z.; Newlin-Łukowicz, J. (Нелінійні коливання, 2003)

Classical solutions of nonlinear first order partial differential equations are approximated in the paper by solutions of quasilinear systems of difference equations. Sufficient conditions for the convergence of the method ...
Geometric interpretation of quadratic centers

Gaiko, V.A. (Нелінійні коливання, 2003)

Polynomial differential equations are considered. We apply Erugin’s two-isocline method for the global qualitative analysis of such equations and give a geometric interpretation of the quadratic centers.
Gravity-capillary waves in layered fluid

M.La Rocca; Sciortino, G.; Boniforti, M. (Нелінійні коливання, 2003)

In this work we analyse stability of a gravity wave generated on the separation surface of two immiscible liquids inside a moving container and perturbed by a capillary wave. Such a phenomenon is experimentally observed ...
Hamiltonian formulation for the motion of a two fluid system with free surface

Sciortino, G.; M.La Rocca; Boniforti, M. (Нелінійні коливання, 2003)

In this work a theoretical investigation is performed on modeling interfacial and surface waves in a layered fluid system. The physical system consists of two immiscible liquid layers of different densities ρ1 > ρ2 with ...
Integration of Shazy equation with constant coefficients

Chichurin, A.V. (Нелінійні коливання, 2003)

The problem of constructing a general solution for the third order Shazy differential equation with six constants parameters is considered. This equation belongs to P-type and is connected with Painleve equations.
Low-frequency propagation of plane scalar waves through a periodic array of arbitrary volumetric obstacles

Scarpetta, E.; Sumbatyan, M.A. (Нелінійні коливання, 2003)

In the context of wave propagation through gratings of periodically distributed obstacles, we use analytical approaches to derive explicit formulas for the scattering parameters in the low-frequency approximation. The ...
Modified Ginzburg-Landau equation and Benjamin-Feir instability

Kengne, E. (Нелінійні коливання, 2003)

In this paper the modulated wave train in nonlinear monoinductance LC circuit is studied. Using the method of multiple scales in general form, we establish that the evolution of nonlinear excitations is governed by what ...
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type

Hakl, R.; Lomtatidze, A.; Šremr, J. (Нелінійні коливання, 2003)

Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u), where F : C([a, b]; R) → L([a, b]; ...
On averaging difference equations on an infinite interval

Stanzhitskyi, O.M.; Ateiwi, A.M. (Нелінійні коливання, 2003)

The averaging method on the semi-axis is justified for systems of difference equations. A theorem on closeness of the corresponding solutions of the exact and averaged systems on the semi-axis is proved. This theorem is ...
On stability of a nonlinear pendulum

Kengne, E. (Нелінійні коливання, 2003)

Методом Ляпунова знайдено достатню умову стiйкостi руху нелiнiйного маятника.
On the numerical-analytic investigation of parametrized problems with nonlinear boundary conditions

Rontó, M.; Shchobak, N.M. (Нелінійні коливання, 2003)

We consider a parametrized boundary-value problem containing an unknown parameter both in the nonlinear ordinary differential equations and in the nonlinear boundary conditions. By using a suitable change of variables, ...
Optimal existence theory for single and multiple positive periodic solutions to functional differential equations

Jiang, D.; O'Regan, D.; Agarwal, R.P. (Нелінійні коливання, 2003)

This paper deals with a new optimal existence theory for single and multiple positive periodic solutions to functional differential equations by employing a fixed point theorem in cones. We illustrate our theory by ...
Oscillations in differential equations with state-dependent delays

Niri, K. (Нелінійні коливання, 2003)

In this paper we study the existence of oscillating solutions of a delay differential equations with the delay depending directly on the state. Necessary and sufficient conditions for oscillations are established.
Second order nonlinear Cauchy problems in a four dimensional space

A.Di Bartolomeo; Quartieri, J.; Steri, S. (Нелінійні коливання, 2003)

In this paper a general second order Cauchy problem in four dimensional space is considered and sufficient conditions for integrability with generalized Lie series method are determined.
Some uniqueness result on controllability for functional semilinear differential equations in Fréchet spaces

Arara, A.; Benchohra, M.; Ouahab, A. (Нелінійні коливання, 2003)

In this paper, a recent nonlinear alternative for contraction maps in Frechet spaces, due to Frigon and ´ Granas, is combined with semigroups theory and used to investigate the controllability of some classes of semilinear ...
Volterra’s theory of elastic dislocations for a transversally isotropic homogeneous hollow cylinder

Laserra, E.; Pecoraro, M. (Нелінійні коливання, 2003)

This work will consider Volterra’s theory of elastic dislocations in the case of a transversally isotropic homogeneous hyperelastic hollow cylinder. We obtain explicit equations for vector field of displacements, for ...

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Перегляд Нелінійні коливання, 2003, том 6 за назвою

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