Applicable Analysis and Discrete Mathematics 

About: Applicable Analysis and Discrete Mathematics is an academic journal published by University of Belgrade. The journal publishes majorly in the area(s): Vertex (geometry) & Biology. It has an ISSN identifier of 1452-8630. It is also open access. Over the lifetime, 474 publications have been published receiving 5799 citations.

Merging the A-and Q-spectral theories

Abstract: Let G be a graph with adjacency matrix A(G), and let D(G) be the diagonal matrix of the degrees of G: The signless Laplacian Q(G) of G is defined as Q(G):= A(G) +D(G). Cvetkovic called the study of the adjacency matrix the A-spectral theory, and the study of the signless Laplacian{the Q-spectral theory. To track the gradual change of A(G) into Q(G), in this paper it is suggested to study the convex linear combinations A_ (G) of A(G) and D(G) defined by Aα (G) := αD(G) + (1 - α)A(G), 0 ≤ α ≤ 1. This study sheds new light on A(G) and Q(G), and yields, in particular, a novel spectral Turan theorem. A number of open problems are discussed.

Stability of functional equations in non-archimedean spaces

Abstract: We prove the generalized Hyers-Ulam stability of the Cauchy functional equation f(x+y) = f(x)+f(y) and the quadratic functional equation f(x+ y) f(x - y) = 2f(x) + 2f(y) in non-Archimedean normed spaces.

FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS

Abstract: The recent theory of fractional h-difference equations introduced in [N.R.O. Bastos, R. A. C. Ferreira, D. F. M. Torres: Discrete-time fractional variational problems, Signal Process. 91 (2011), no. 3, 513{524], is enriched with useful tools for the explicit solution of discrete equations involving left and right fractional difference operators. New results for the right fractional h sum are proved. Illustrative examples show the effectiveness of the obtained results in solving fractional discrete Euler{Lagrange equations.