#### Journal of Computer Science and Applied Mathematics

Journal Information

EISSN
:
1857-9582

Published by: Union of Researchers of Macedonia
(10.37418)

Total articles ≅ 15

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#### Latest articles in this journal

Published: 29 June 2021

Journal of Computer Science and Applied Mathematics, Volume 3, pp 22-36; doi:10.37418/jcsam.3.1.4

**Abstract:**

Let $G$ be a connected graph with a distance matrix $D$. The distance eigenvalues of $G$ are the eigenvalues of $D$, and the distance energy $E_D(G)$ is the sum of its absolute values. The transmission $Tr(v)$ of a vertex $v$ is the sum of the distances from $v$ to all other vertices in $G$. The transmission matrix $Tr(G)$ of $G$ is a diagonal matrix with diagonal entries equal to the transmissions of vertices. The matrices $D^L(G)= Tr(G)-D(G)$ and $D^Q(G)=Tr(G)+D(G)$ are, respectively, the Distance Laplacian and the Distance Signless Laplacian matrices of $G$. The eigenvalues of $D^L(G)$ ( $D^Q(G)$) constitute the Distance Laplacian spectrum ( Distance Signless Laplacian spectrum ). The subdivision graph $S(G)$ of $G$ is obtained by inserting a new vertex into every edge of $G$. We describe here the Distance Spectrum, Distance Laplacian spectrum and Distance Signless Laplacian spectrum of some types of subdivision related graphs of a regular graph in the terms of its adjacency spectrum. We also derive analytic expressions for the distance energy of $\bar{S}(C_p)$, partial complement of the subdivision of a cycle $C_p$ and that of $\overline {S\left( {C_p }\right)}$, complement of the even cycle $C_{2p}$.

Published: 28 May 2021

Journal of Computer Science and Applied Mathematics, Volume 3, pp 17-22; doi:10.37418/jcsam.3.1.3

**Abstract:**

Proposing a function for modeling growth is an important development for the curve fitting of data. This study gives a derivation for a new mathematical equation for growth and reports some significant features of this model.

Published: 28 May 2021

Journal of Computer Science and Applied Mathematics, Volume 3, pp 17-22; doi:10.37418/amsj.3.1.3

**Abstract:**

Proposing a function for modeling growth is an important development for the curve fitting of data. This study gives a derivation for a new mathematical equation for growth and reports some significant features of this model.

Published: 18 May 2021

Journal of Computer Science and Applied Mathematics, Volume 3, pp 9-15; doi:10.37418/jcsam.3.1.2

**Abstract:**

In this paper we discuss some pairwise properly hereditary properties concerning pairwise separation axiom, and obtain several results related to these properties.

Published: 18 May 2021

Journal of Computer Science and Applied Mathematics, Volume 3, pp 1-7; doi:10.37418/jcsam.3.1.1

**Abstract:**

In this paper, we present a mixed formulation for a bending dominated Koiter shell with obstacle in order to avoid numerical locking or the deterioration of the convergence when the small parameter the thickness goes to zero. This formulation is a combination between the free locking mixed formulation presented in [1,10] and the Koiter’s model with obstacle for flexural shell proposed in [6].

Published: 1 June 2016

Journal of Computer Science and Applied Mathematics, Volume 2, pp 1-10; doi:10.37418/jcsam.2.1.1

**Abstract:**

In this paper we investigate the problem of stability for a certain class of $p$-valent functions in $T_{\delta}$-neighborhoods and we find the lower and upper bounds of radius of stability.

Published: 1 June 2016

Journal of Computer Science and Applied Mathematics, Volume 2, pp 11-13; doi:10.37418/jcsam.2.1.2

**Abstract:**

Let $\mathcal{P}(\alpha)$ be the class of functions $p(z)$ which are Carathéodory functions of order $\alpha$ $(0 \le\alpha

Published: 1 June 2016

Journal of Computer Science and Applied Mathematics, Volume 2, pp 15-17; doi:10.37418/jcsam.2.1.3

**Abstract:**

In this article the author continues the examination of the class $\widetilde{K}$, which is a subclass of the class of close-to-convex functions. In addition to the already obtained sharp growth and distortion results for this class there is given the radius of convexity of the class $\widetilde{K}$ and also a result concerning the derivatives of the functions from the class $\widetilde{K}$.

Published: 1 December 2015

Journal of Computer Science and Applied Mathematics, Volume 1, pp 45-48; doi:10.37418/jcsam.1.2.3

**Abstract:**

In this paper we have discussed normality criteria of a family of meromorphic functions. We have studied whether a family of meromorphic functions $\mathcal{F}$ is normal in $D$ if for a normal family $G$ and for each function $f\in \mathcal{F} $ there exists $g\in G$ such that $(f^{(k)})^n = a_i$ implies $(g^{(k)})^n = a_i$, $i=1,2,\ldots$ for two distinct non zero constants $a_i$ and $n (\ge 2)$, $k$ being positive integers. In this approach we have considered the functions with multiple zeros and multiple poles. We also have proved another result which improves the result of Yuan et al. [1].

Published: 1 December 2015

Journal of Computer Science and Applied Mathematics, Volume 1, pp 49-58; doi:10.37418/jcsam.1.2.4

**Abstract:**

In this work, we investigate the Hyers-Ulam stability of the fourth order Euler's differential equations of the form \[ t^4 y^{(iv)} + \alpha t^3 y''' + \beta t^2 y'' +\gamma t y' +\delta y = 0, \] on any open interval $I = (a, b)$, $0 < a < b \le\infty$ or $-\infty < a < b < 0$, where $\alpha$, $\beta$, $\gamma$ and $\delta$ are complex constants.