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Displaying 1081 – 1100 of 1662

On the oscillation of third-order quasi-linear neutral functional differential equations

Ethiraju Thandapani, Tongxing Li (2011)

Archivum Mathematicum

The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation ${[a (t) {({[x (t) + p (t) x (δ (t))]}^{''})}^{α}]}^{'} + q (t) x^{α} (τ (t)) = 0, E$ where $α > 0$ , $0 \leq p (t) \leq p_{0} < \infty$ and $δ (t) \leq t$ . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.

On the oscillation of ty" + p(t)y = 0 with ʃ p almost periodic

D. Willett (1973)

Annales Polonici Mathematici

On the oscillations of the solutions of the equation

Milena Lekić, Miloje Rajović (2007)

Kragujevac Journal of Mathematics

On the oscillatory and monotone solutions of ordinary differential equations

Ivan Kiguradze (1978)

Archivum Mathematicum

On the oscillatory behavior for a certain class of third order nonlinear delay difference equations.

Saker, S.H., Alzabut, J.O., Mukheimer, A. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the oscillatory behavior of solutions of second order nonlinear differential equations

John R. Graef, Paul W. Spikes (1986)

Czechoslovak Mathematical Journal

On the oscillatory behaviour of certain third order nonlinear differential equation

Michal Greguš (1992)

Archivum Mathematicum

In this paper we shall study some oscillatory and nonoscillatory properties of solutions of a nonlinear third order differential equation, using the results and methods of the linear differential equation of the third order.

On the oscillatory integration of some ordinary differential equations

Octavian G. Mustafa (2008)

Archivum Mathematicum

Conditions are given for a class of nonlinear ordinary differential equations $x^{''} + a (t) w (x) = 0$ , $t \geq t_{0} \geq 1$ , which includes the linear equation to possess solutions $x (t)$ with prescribed oblique asymptote that have an oscillatory pseudo-wronskian $x^{'} (t) - \frac{x (t)}{t}$ .

On the oscillatory nature of perturbed second order nonlinear differential equations with damping.

Nápoles, Juan E. (2002)

Mathematica Pannonica

On the percolation of water from a cylindrical reservoir into the surrounding soil

J. Goncerzewicz, H. Marcinkowska, W. Okrasiński, K. Tabisz (1978)

Applicationes Mathematicae

On the periodic boundary-value problem for systems of second-order nonlinear ordinary differential equations.

Gaprindashvili, G. (1995)

Georgian Mathematical Journal

On the periodic solutions of linear homogeneous systems of differential equations.

Bose, A.K. (1982)

International Journal of Mathematics and Mathematical Sciences

On the periodic spectrum of the 1-dimensional Schrödinger operator.

Th. Kappeler (1990)

Commentarii mathematici Helvetici

On the Perron problem for the exponential dichotomy of $C_{0}$ -semigroups.

Preda, P., Pogan, A., Preda, C. (2003)

Acta Mathematica Universitatis Comenianae. New Series

On the Poincaré-Lyapunov constants and the Poincare series

Jaume Giné, Xavier Santallusia (2001)

Applicationes Mathematicae

For an arbitrary analytic system which has a linear center at the origin we compute recursively all its Poincare-Lyapunov constants in terms of the coefficients of the system, giving an answer to the classical center problem. We also compute the coefficients of the Poincare series in terms of the same coefficients. The algorithm for these computations has an easy implementation. Our method does not need the computation of any definite or indefinite integral. We apply the algorithm to some polynomial...

Currently displaying 1081 – 1100 of 1662

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Displaying 1081 – 1100 of 1662

On the oscillation of third-order quasi-linear neutral functional differential equations

On the oscillation of ty" + p(t)y = 0 with ʃ p almost periodic

On the oscillations of the solutions of the equation

On the oscillatory and monotone solutions of ordinary differential equations

On the oscillatory behavior for a certain class of third order nonlinear delay difference equations.

On the oscillatory behavior of solutions of second order nonlinear differential equations

On the oscillatory behaviour of certain third order nonlinear differential equation

On the oscillatory integration of some ordinary differential equations

On the oscillatory nature of perturbed second order nonlinear differential equations with damping.

On the percolation of water from a cylindrical reservoir into the surrounding soil

On the periodic boundary-value problem for systems of second-order nonlinear ordinary differential equations.

On the periodic solutions of linear homogeneous systems of differential equations.

On the periodic spectrum of the 1-dimensional Schrödinger operator.

On the Perron problem for the exponential dichotomy of $C_{0}$ -semigroups.

On the Poincaré-Lyapunov constants and the Poincare series

On the ``Poincaré-Lyapunov”-like systems of three differential equations

On the position of nodes of associated equations to the differential equation $y^{'} - q (t) y = r (t)$

On the positive and negative solutions of Laplacian BVP with Neumann boundary conditions.

On the positive solutions of a higher order functional differential equation with a discontinuity.

On the possibility of calculation of zero points of solutions of differential equations of the second order

Currently displaying 1081 – 1100 of 1662