Results 61 to 70 of about 182,959 (213)

On tau functions associated with linear systems [PDF]

open access: yes, 2012
\noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham   +3 more
core  

On Linear Differential Equations with Retarded Arguments

open access: yesMathematische Nachrichten, 1984
The idea of using fixed points of the lag in a linear differential equation with retarded argument, was proposed by \textit{G. Karakostas} [Boll. Unione Mat. Ital., V. Ser. A 17, 428-435 (1980; Zbl 0455.34047)] and is widely applied here to a system of the form \(\dot x(t)=\sum^{k}_{i=1}A_ i(t)x[\sigma_ i(t)]+b(t).\) The authors discuss solutions with ...
Staikos, V. A., Tsamatos, P. C.
openaire   +3 more sources

Nonlinear differential equation with first order partial derivatives

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

On oscillatory linear differential equations of third order [PDF]

open access: yes, 2001
summary:Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly ...
Parhi, N., Padhi, Seshadev
core  

On the derivation of the formula for the general solution of an ordinary linear differential equation with constant coefficients

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Linear differential equations with constant coefficients are often used to solve a number of physical, engineering, chemical and biological problems.
Dostonjon N. Barotov, Ruziboy N. Barotov
doaj   +1 more source

Oscillation of Half-Linear Differential Equations with Delay

open access: yesAbstract and Applied Analysis, 2013
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
doaj   +1 more source

Numerical integration of the boundary value problems for the second order nonlinear ordinary differential equations of an arbitrary structure using an iterative procedure

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
An iterative procedure for numerical integration of boundary-value problems for nonlinear ordinary differential equations of the second order of arbitrary structure is suggested.
Vladimir N Maklakov
doaj   +1 more source

Numerical Methods for Ill-Posed, Linear Problems [PDF]

open access: yes, 1975
A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
core   +1 more source

Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

open access: yesAbstract and Applied Analysis, 2012
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
doaj   +1 more source

H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes

open access: yes, 2010
Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems.
Paszke, Wojtek   +5 more
core   +1 more source

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