Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Oscillatory solutions of nonlinear fourth order differential equations with a middle term

- M. Bartusek, Z. Došlá
- Mathematics
- 2014

We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends… Expand

On oscillatory solutions of quasilinear differential equations

- M. Bartusek, M. Cecchi, Z. Došlá, M. Marini
- Mathematics
- 1 August 2006

Abstract Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new… Expand

Monotonicity theorems concerning differential equations $y^{\prime \prime }+f(t,y,y^{\prime })=0$

- M. Bartusek
- Mathematics
- 1976

Asymptotics for higher order differential equations with a middle term.

- M. Bartusek, M. Cecchi, Z. Došlá, M. Marini
- Mathematics
- 15 April 2012

Higher order nonlinear differential equations with the middle
term as a perturbation of certain linear equations are studied.
Using an iterative method, we show that for every solution of
nonlinear… Expand

On singular solutions of a second order differential equation

- M. Bartusek
- Mathematics
- 2006

Sufficient conditions are given under which all nontrivial
solutions of (g(a(t)y'))' + r(t)f(y) = 0 are proper where a >
0,r > 0, f(x)x>0 , g(x)x>0 for x is different from zero and g
is increasing.A… Expand

Asymptotic properties of oscillatory solutions of differential equations of the n-th order

- M. Bartusek
- Mathematics
- 1993

Global structure and oscillatory criteria of the n-th order
differential equation are investigated.

Remark on kneser problem

- M. Bartusek, Z. Došlá
- Mathematics
- 1 April 1995

We study the existence of proper Kneser solutiolis of a systenl of differential equations. Especially, we remark how this result can be applied on a nonlinear differential equation with… Expand

On the limit-point/limit-circle problem for second order nonlinear equations

- M. Bartusek, J. R. Graef
- Mathematics
- 2006

Oscillation of third order differential equation with damping term

- M. Bartusek, Z. Došlá
- Mathematics
- 25 June 2015

We study asymptotic and oscillatory properties of solutions to the third order differential equation with a damping term $$x'''(t) + q(t)x'(t) + r(t)\left| x \right|^\lambda (t)\operatorname{sgn}… Expand

On structure of solutions of a system of four differential inequalities

- M. Bartusek
- Mathematics
- 1 May 1995

AbstractThe aim of the paper is to study a global structure of solutions of four differential inequalities
$$\begin{gathered} \alpha _i y'_i (t)y_i + 1 \geqslant 0, y_i + 1(t) = 0 \Rightarrow y'_i… Expand

...

1

2

3

4

5

...