#### Filter Results:

- Full text PDF available (15)

#### Publication Year

2005

2016

- This year (0)
- Last 5 years (14)
- Last 10 years (24)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Marek Galewski, Joanna Smejda
- J. Computational Applied Mathematics
- 2010

- Marek Galewski
- Applied Mathematics and Computation
- 2011

We investigate the dependence on parameters for the discrete boundary value problem connected with the Emden-Fowler equation. A vari-ational method is used in order to obtain a general scheme allowing for investigation the dependence on paramaters of discrete boundary value problems.

- Marek Galewski, Renata Wieteska
- Appl. Math. Lett.
- 2013

- Marek Galewski
- 2011

We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution of the anisotropic discrete Dirichlet boundary value problem. Our results generalize and improve those of [16].

- Marek Galewski
- Applied Mathematics and Computation
- 2008

The paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and computational errors, is presented.

- Marek Galewski
- Applied Mathematics and Computation
- 2008

In this paper we consider the Dirichlet problem for a discrete anisotropic equation with some function α , a nonlinear term f , and a numerical parameter λ : ∆ (α (k) |∆u(k − 1)| p(k−1)−2 ∆u(k − 1)) + λf (k, u(k)) = 0, k ∈ [1, T ]. We derive the intervals of a numerical parameter λ for which the considered BVP has at least 1, exactly 1, or at least 2… (More)

- Marek Galewski
- 2015

Using the Fenchel-Young duality and mountain pass geometry we derive a new multiple critical point theorem. In a finite dimensional setting it becomes three critical point theorem while in an infinite dimensional case we obtain the existence of at least two critical points. The applications to anisotropic problems show that one can obtain easily that all… (More)