On solvability of general nonlinear variational-like inequalities in reflexive Banach spaces.
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
On solvability of nonlinear boundary value problems for the equation with one-sided growth restrictions on
We consider boundary value problems for second order differential equations of the form with the boundary conditions , , where are continuous functions, satisfies the local Carathéodory conditions and are continuous and nondecreasing functionals. Existence results are proved by the method of lower and upper functions and applying the degree theory for -condensing operators.
On solvability of nonlinear equations.
On solvability of nonlinear operator equations and eigenvalues of homogeneous operators
Notions as the numerical range and the spectrum of couple of homogeneous operators on a Banach space are used to derive theorems on solvability of the equation Conditions for the existence of eigenvalues of the couple are given.
On solvability of the cohomology equation in function spaces
Let T be an endomorphism of a probability measure space (Ω,𝓐,μ), and f be a real-valued measurable function on Ω. We consider the cohomology equation f = h ∘ T - h. Conditions for the existence of real-valued measurable solutions h in some function spaces are deduced. The results obtained generalize and improve a recent result of Alonso, Hong and Obaya.
On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.
The necessary and sufficient condition for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the expected mean in the general univariate linear regression model was given by Kruskal (1968) using a coordinate-free approach. The purpose of this article is to present in the same manner some alternative forms of this condition and to prove two of the Haberman’s equivalent conditions in a different and simpler way. The results obtained in the general univariate...
On some analytical index formulas related to operator-valued symbols.
On some application of the Bochenek theorem.
On some applications of Bochner-Schoenberg-Eberlein type theorems
On some Banach ideals of operators
On some Banach space constants arising in nonlinear fixed point and eigenvalue theory.
On some BK spaces.
On Some Classes Of Linear Equations
On some classes of linear equations.
On some classes of linear equations, II.
On Some Classes Of Linear Equations III
On some classes of linear equations. IV.
On some classes of linear function transformations of sequences (III)
On some classes of Multiplicity Free representations.