4 papers
math.GM2025
Solutions of Analytical Systems of Partial Differential Equations
Kostadin TrenÄevski
In this paper are examined general classes of linear and non-linear analytical systems of partial differential equations. Indeed the integrability conditions are found and if they…
math.GM2025
Principal Values and Principal Subspaces of Two Subspaces of Vector Spaces with Inner Product
Ice B. Risteski, Kostadin G. TrenÄevski
In this paper is studied the problem concerning the angle between two subspaces of arbitrary dimensions in Euclidean space . It is proven that the angle between two subspace…
math.DG2025
A formula for the k-th covariant derivative
Kostadin TrenÄevski
The aim of the present paper is to give a formula for the -th covariant derivative of tensor field along a given curve. In order to do that, first the symbols and…
math.GM2025
On a generalized n-inner product and the corresponding Cauchy-Schwarz inequality
Kostadin TrenÄevski, Risto MalÄeski
In this paper is defined an -inner product of type where , ${\bf b}_1,…