Results 41 to 50 of about 231,156 (287)

Automated Linearization of a System of Nonlinear Ordinary Differential Equations

open access: yesInternational Journal of Electronics and Telecommunications, 2023
This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation of the original nonlinear model.
Aigerim Mazakova   +4 more
openaire   +2 more sources

Boundary Value Problems for Delay Differential Systems

open access: yesAdvances in Difference Equations, 2010
Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and ...
Khusainov D   +3 more
doaj   +2 more sources

Constructive factorization of LPDO in two variables

open access: yes, 2005
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy   +8 more
core   +1 more source

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations

open access: yes, 2011
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir   +37 more
core   +3 more sources

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core   +3 more sources

The Expansion Al-Zughair transformation and its devloper of it to solve Linear ordinary differential equations with constant coefficients [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة
A fundamental component of applied mathematics are differential equations with constant coefficients. Both complicated and physical systems may be well described using it.
Ali Mohammed, Zainab Razzaq
doaj   +1 more source

Formal Solutions of a Class of Pfaffian Systems in Two Variables

open access: yes, 2014
In this paper, we present an algorithm which computes a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in two variables, based on (Barkatou, 1997).
Abbas, Hassan   +2 more
core   +3 more sources

Hospitalization Through Families’ Eyes: Comparing Inpatient Care Quality for Children With Sickle Cell Disease and Cystic Fibrosis in Canada

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker   +11 more
wiley   +1 more source

Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula

open access: yesCubo, 2023
In this research we introduce a new variation of parameters for systems of linear and nonlinear ordinary differential equations. We use known mathematical methods and techniques including Gronwall’s inequality and fixed point theory to obtain boundedness
Youssef N. Raffoul
doaj   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási   +14 more
wiley   +1 more source

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