On solutions of third order nonlinear differential equations

Ivan Mojsej; Ján Ohriska

Displaying similar documents to “On solutions of third order nonlinear differential equations”

Comparison theorems for noncanonical third order nonlinear differential equations

Ivan Mojsej, Ján Ohriska (2007)

Open Mathematics

Similarity:

The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.

Asymptotic properties of solutions of the $n$ th order differential equation with delayed argument

Marián Rusnák, Vincent Šoltés (1989)

Mathematica Slovaca

Similarity:

On oscillatory solutions of fourth order ordinary differential equations

Oleg Palumbíny (1999)

Czechoslovak Mathematical Journal

Similarity:

The paper deals with the oscillation of a differential equation $L_{4} y + P (t) L_{2} y + Q (t) y \equiv 0$ as well as with the structure of its fundamental system of solutions.

Oscillation theorems for a class of linear fourth order differential equations

Ján Regenda (1984)

Czechoslovak Mathematical Journal

Similarity:

Oscillation for third-order nonlinear differential equations with deviating argument.

Bartušek, Miroslav, Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2010)

Abstract and Applied Analysis

Similarity:

Fixed point analysis for non-oscillatory solutions of quasi linear ordinary differential equations

Luisa Malaguti, Valentina Taddei (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

The paper deals with the quasi-linear ordinary differential equation ${(r (t) ϕ (u^{'}))}^{'} + g (t, u) = 0$ with $t \in [0, \infty)$ . We treat the case when $g$ is not necessarily monotone in its second argument and assume usual conditions on $r (t)$ and $ϕ (u)$ . We find necessary and sufficient conditions for the existence of unbounded non-oscillatory solutions. By means of a fixed point technique we investigate their growth, proving the coexistence of solutions with different asymptotic behaviors. The results generalize previous ones due to Elbert–Kusano,...

Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.

Manojlovic, J.V., Milosevic, J. (2008)

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

Similarity:

Displaying similar documents to “On solutions of third order nonlinear differential equations”

Comparison theorems for noncanonical third order nonlinear differential equations

Asymptotic properties of solutions of the n th order differential equation with delayed argument

On oscillatory solutions of fourth order ordinary differential equations

Oscillation theorems for a class of linear fourth order differential equations

Oscillation for third-order nonlinear differential equations with deviating argument.

Fixed point analysis for non-oscillatory solutions of quasi linear ordinary differential equations

Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.

Asymptotic properties of solutions of the $n$ th order differential equation with delayed argument