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Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.

On oscillatory solution of the differential equations of the $n$ -th order

Miroslav Bartušek (1986)

Archivum Mathematicum

On oscillatory solutions of second order differential systems

Jones, John jr. (1970)

Portugaliae mathematica

On point-dissipative systems of differential equations with quadratic nonlinearity.

Bose, Anil K., Cover, Alan S., Reneke, James A. (1991)

International Journal of Mathematics and Mathematical Sciences

On positive solutions of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1995)

Annales Polonici Mathematici

The differential equation of the form ${(q (t) k (u) {(u^{'})}^{a})}^{'} = f (t) h (u) u^{'}$ , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

On positive solutions of equations with two middle terms

Witold A. Kosmala, William C. Bauldry (1990)

Annales Polonici Mathematici

On positive solutions of nonlinear retarded differential equations

Rudolf Oláh (1992)

Mathematica Slovaca

On quadratically integrable solutions of the second order linear equation

T. Chantladze, Nodar Kandelaki, Alexander Lomtatidze (2001)

Archivum Mathematicum

Integral criteria are established for $dim V_{i} (p) = 0$ and $dim V_{i} (p) = 1, i \in {0, 1}$ , where $V_{i} (p)$ is the space of solutions $u$ of the equation $u^{''} + p (t) u = 0$ satisfying the condition $\int^{+ \infty} \frac{u^{2} (s)}{s^{i}} d s < + \infty .$

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On nondecreasing singular solutions of the Emden-Fowler equation.

On nonincreasing singular solutions to the Emden-Fowler equation.

On nonlinear differential systems with deviating arguments

On oscillation and boundedness of solutions of nonlinear differential equations

On oscillation criteria of fourth order linear differential equations

On oscillatory linear differential equations of third order

On oscillatory solution of the differential equations of the $n$ -th order

On oscillatory solutions of second order differential systems

On point-dissipative systems of differential equations with quadratic nonlinearity.

On positive solutions of a class of second order nonlinear differential equations on the halfline

On positive solutions of equations with two middle terms

On positive solutions of nonlinear retarded differential equations

On quadratically integrable solutions of the second order linear equation

On reducibility of linear quasiperiodic systems with bounded solutions.

On Second Order Functional Differential Equations and Inequalities with Deviating Arguments.

On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation.

On singular solutions of a second order differential equation.

On Slowly Varying Solutions Of The Linear Second Order Differential Equation

On Solutions of a Differential Equation which are not of Integrable Square.

On stability and boundedness of solutions of a certain fourth-order delay differential equation.

Currently displaying 21 – 40 of 82