в настоящей работе рассматривается оператор билапласиан с трехмерным
возмущением в одномерной решетке (импульсном представлении). Этот оператор …

The purpose of this research is to analyze the application of neural networks and specific
features of training radial basis functions for solving 2‐dimensional Navier‐Stokes …

We study here a singular perturbation problem of biLaplacian type, which can be seen as
the biharmonic counterpart of classical combustion models. We provide different results, that …

We consider the family $\hat h_\mu:=\hat\varDelta\hat\varDelta-\mu\hat v, $$\mu\in\mathbb
{R}, $ of discrete Schr\" odinger-type operators in $ d $-dimensional lattice $\mathbb {Z}^ d …

6. A dichotomy argument and proof of Theorem 1.7 903 7. Nondegeneracy and proof of
Theorems 1.8 and 1.10 909 8. Stratification of free boundary and proof of Theorem 1.11 917 …

Accurately approximating higher order derivatives is an inherently difficult problem. It is
shown that a random variable shape parameter strategy can improve the accuracy of …

In this paper we consider the minimization of the functional\[J [u]:=\int_\Omega|\Delta u|^
2+\chi_ {\{u> 0\}}\] in the admissible class of functions\[\mathcal A:=\left\{u\in W^{2 …

We consider the family H^ μ:= Δ^ Δ^-μ V^, μ∈ R, of discrete Schrödinger-type operators in d-
dimensional lattice Z d, where Δ^ is the discrete Laplacian and V^ is of rank-one. We prove …

Мақолада бир ўлчамли панжарада уч ўлчамли қўзғалишга эга билапласиан оператори
импульс кўринишида ўрганилади. Унга мос Фредгольм детерминанти қурилади ҳамда …

Данная работа посвящена исследованию существенного и дискретного спектра
оператора билапласиан,, в импульсном представлении с двумерным возмущением на …