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Journals and Conferences
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.
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 .
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.
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)
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)