12 papers found.

Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

In this paper a method for studying stability of the equation x ″ ( t ) + ∑ i = 1 m a i ( t ) x ( t − τ i ( t ) ) = 0 not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation x ″ ( t ) + ∑ i = 1 m a i ( t ) x ( t ) = 0 is not exponentially stable, the delay equation can be exponentially stable. MSC...

Delays, arising in nonoscillatory and stable ordinary differential equations, can induce oscillation and instability of their solutions. That is why the traditional direction in the study of nonoscillation and stability of delay equations is to establish a smallness of delay, allowing delay differential equations to preserve these convenient properties of ordinary differential...

**Domoshnitsky** 0
0 Department of Mathematics and Computer Sciences, Ariel University of Samaria , Ariel , Israel
The purpose of this paper is to propose a method for studying integro-differential equations with

Yakov Goltser
0
**Alexander** **Domoshnitsky**
0
0
Department of Mathematics and Computer Sciences, Ariel University of Samaria
,
Ariel
,
Israel
The purpose of this paper is to propose a method for studying

The coefficients and delays in models describing various processes are usually obtained as a results of measurements and can be obtained only approximately. We deal with the question of how to estimate the influence of ‘mistakes’ in coefficients and delays on solutions’ behavior of the delay differential neutral system xi′(t)−qi(t)xi′(t−θi(t))+∑j=1n(pij(t)−Δpij(t))xj(t−τij(t...

**Alexander** **Domoshnitsky**
0
0
Department of Mathematics and Computer Science, The Ariel University Center of Samaria
,
44837 Ariel
,
Israel
The method to compare only one component of the solution

**Domoshnitsky** 0
0 Department of Computer Science and Mathematics, Ariel University Center of Samaria , Ariel, 40700 , Israel
In this paper, we propose and analyze a mathematical model for the treatment of

In this paper, we propose and analyze a mathematical model for the treatment of chronic myelogenous (myeloid) leukemia (CML), a cancer of the blood. Our main focus is on the combined treatment of CML based on imatinib therapy and immunotherapy. Treatment with imatinib is a molecular targeted therapy that inhibits the cells involved in the chronic CML pathogenesis. Immunotherapy...

The classical Ważewski theorem claims that the condition pij ≤ 0, j ≠ i, i, j =1,...,n, is necessary and sufficient for non-negativity of all the components of solution vector to a system of the inequalities x ′ ( t ) + ∑ j = 1 n p i j ( t ) x ( t ) ≥ 0 , xi (0) ≥ 0, i =1, ..., n. Although this result was extent on various boundary value problems and on delay differential systems...

.
**Alexander** **Domoshnitsky**: Department of Mathematics and Computer Sciences,
The Academic College of Judea and Samaria, Ariel 44837, Israel
Email address:
[1] T. A. Chanturiya , “ Specific conditions for the

**Domoshnitsky** 0
Abraham Maghakyan 0
Roman Shklyar 0
Recommended by Marta A D Garc´ıa-Huidobro
0 Department of Mathematics and Computer Science, Ariel University Center of Samaria , Ariel 44837 , Israel
We obtain

No abstract