In this paper, we investigate the structure of the Fučík Spectrum for the second order boundary value problem with one non-local boundary condition. We provide a new compact form of the implicit description of the Fučík Spectrum in the first quadrant. Presented compact form of...

We study the solvability of the Zakharov equation in a bounded domain under homogeneous Dirichlet or Navier boundary conditions. This problem is a consequence of the system of equations derived by Zakharov to model the Langmuir collapse in plasma physics. Assumptions for the existe...

The problem when a random variable exceeds some boundary is very often studied problem in many fields of science. The classical approach focuses on situation when random variable overlap a fix value. More general methods interested in situation with two random variables and the...

The change in the gut microbiome and microbial metabolites in a patient suffering from severe and enduring anorexia nervosa (AN) and diagnosed with small intestinal bacterial overgrowth syndrome (SIBO) was investigated. Microbial gut dysbiosis is associated with both AN and SIBO, and th...

This paper is devoted to the investigation of selected situations when computing projective (and other) equivalences of algebraic varieties can be efficiently solved via finding projective equivalences of finite sets of points on the projective line. In particular, we design a method th...