We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.

The aim of this paper is to study the superstability problem of the d’Alembert type functional equation \[f(x + y + z) + f(x + y + σ(z)) + f(x + σ(y) + z) + f(σ(x) + y + z)\] \[= 4f(x)f(y)f(z)\] for all $x, y, z ∈ G$, ...

In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear ...

The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized Mprojectively recurrent manifolds have been studied under certain curvature conditions. ...

Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with $f(ξ) = f'(ξ) − 1 = 0, ξ (|ξ| = d)$ is a fixed point in the open disc $U = \{z ∈ C : |z| < 1\}$. In this paper ...

For every two-dimensional manifold $M$ with locally symmetric linear connection $∇$, endowed also with $∇-parallel$ volume element, we construct a flat connection on some principal fibre bundle $P(M,G)$. Associated with ...

In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions ...

It is known that the Segre-Gimigliano-Harbourne-Hirschowitz Conjecture holds for linear systems of curves with at most 9 imposed base fat points. We give a nice proof based on a combinatorial method of showing non-speciality ...