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Displaying 401 – 420 of 801

On the asymptotic behavior at infinity of solutions to quasi-linear differential equations

Irina Astashova (2010)

Mathematica Bohemica

Sufficient conditions are formulated for existence of non-oscillatory solutions to the equation $y^{(n)} + \sum_{j = 0}^{n - 1} a_{j} (x) y^{(j)} + p (x) {| y |}^{k} sgn y = 0$ with $n \geq 1$ , real (not necessarily natural) $k > 1$ , and continuous functions $p (x)$ and $a_{j} (x)$ defined in a neighborhood of $+ \infty$ . For this equation with positive potential $p (x)$ a criterion is formulated for existence of non-oscillatory solutions with non-zero limit at infinity. In the case of even order, a criterion is obtained for all solutions of this equation at infinity to be oscillatory. Sufficient conditions are obtained...

On the behaviour of solutions of the differential equations ${(r (t) y^{''})}^{'} + q (t) {(y^{'})}^{β} + p (t) y^{α} = f (t)$

N. Parhi, S. Parhi (1986)

Annales Polonici Mathematici

Currently displaying 401 – 420 of 801

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Displaying 401 – 420 of 801

On the asymptotic behavior at infinity of solutions to quasi-linear differential equations

On the asymptotic behavior of solutions of the equation y" + p(x)y = 0

On the asymptotic classes of solutions of a superlinear differential equation

On the asymptotic nature of a class of second order nonlinear systems.

On the Asymptotic Relationship at Infinity between the solutions of two Differential Systems

On the basic central dispersion of the differential equation $y^{''} = q (t) y$ with an almost periodic coefficient

On the basic second kind central dispersion of $y^{'} = q (t) y$ with an almost periodic coefficient $q$

On the behaviour of solutions of the differential equations ${(r (t) y^{''})}^{'} + q (t) {(y^{'})}^{β} + p (t) y^{α} = f (t)$

On the boundedness and oscillation of solutions to ${(m (t) x^{1})}^{1} + a (t) b (x) = 0$ .

On the boundedness of a solution of a system of non-linear differential equations

On the boundedness of solutions of a certain fourth-order nonlinear differential equation

On the Branching of Solutions of Quadratic Differential Equations.

On the bundle of solutions of a nonhomogeneous second order linear differential equation

On the conditions for the oscillation of solutions of non-linear third order differential equations

On the distribution of zeros of solutions of some types of differential equation $y^{''} = q (t) y$

On the existence of meromorphic solutions of differential equations having arbitarily rapid growth.

On the existence of monotone solutions to a certain class of $n$ -th order nonlinear differential equations

On the existence of oscillatory solutions to $n$ th order differential equations with quasiderivatives

On the focal points of solutions of a certain fourth order differential equation

On the generalized Floquet theory of disconjugate differential equations $y^{''} = q (t) y$

Currently displaying 401 – 420 of 801