Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Klara Janglajew"'
Autor:
Klara Janglajew, Ewa Schmeidel
Publikováno v:
Tatra Mountains Mathematical Publications. 63:139-151
In this paper, necessary and sufficient conditions for factorization of a linear differential operator are presented. As a consequence of the factorization result some criterion of polynomial factorization is obtained. As a special case of the main r
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 19:2461-2467
The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \mathbb{R}$ is bounded and locally Lipschitz
Autor:
Kim G. Valeev, Klara Janglajew
Publikováno v:
Tatra Mountains Mathematical Publications. 54:93-99
The paper deals with a linear system of differential equations of the form with constant coefficients, a small parameter and complex deviating argument. Sufficient conditions for factorizing of this system are presented. These conditions are obtained
Autor:
Klara Janglajew, Alina Dobrogowska
Publikováno v:
Journal of Difference Equations and Applications. 13:1171-1177
We prove that a linear (q, h)-difference operator with leading coefficient equal to one admits a factorization into first order linear (q, h)-difference operators. Some applications and limiting cases are also presented.
Autor:
Klara Janglajew, Kim G. Valeev
Publikováno v:
Computers & Mathematics with Applications. 42(3-5):729-733
In this paper, we indicate necessary and sufficient conditions for factorization of the difference operator. These conditions are connected with the existence of solutions of linear difference equations.
Autor:
Saber Elaydi, Klara Janglajew
Publikováno v:
Journal of Difference Equations and Applications. 3:98-103
Dedicated to Professor Gerry Ladas on his sixtieth birthday in acknowledgement of his leading role of difference equations. We extend the notions of dichotomy and trichotomy to nonlinear ordinary difference equations. This is accomplished by using tw
Autor:
Kim G. Valeev, Klara Janglajew
Publikováno v:
Advances in Difference Equations. 2013
The paper deals with the problem of factorization of a linear differential operator with matrix-valued coefficients into a product of lower order operators of the same type. Necessary and sufficient conditions for the factorization of the considered
Autor:
Ewa Schmeidel, Klara Janglajew
Publikováno v:
Advances in Difference Equations. 2012
Firstly, sufficient conditions for nonexistence of an ω-periodic solution of the equation are presented. Then, sufficient conditions under which every solution of the above equation is asymptotically ω-periodic are given. Next, the results obtained
Autor:
Klara Janglajew
Publikováno v:
Difference Equations, Special Functions and Orthogonal Polynomials.