Results 81 to 90 of about 6,821,838 (248)
Questions concerning differential-algebraic operators: Toward a reliable direct numerical treatment of differential-algebraic equations [PDF]
arXiv, 2019 The nature of so-called differential-algebraic operators and their approximations is constitutive for the direct treatment of higher-index differential-algebraic equations. We treat first-order differential-algebraic operators in detail and contribute to justify the overdetermined polynomial collocation applied to higher-index differential-algebraic ...
arxiv
Oscillation for a Class of Fractional Differential Equation
, 2013 We consider the oscillation for a class of fractional differential equation for where is a real number and is the Liouville right-sided fractional derivative of order of .
Z. Han, Yige Zhao, Ying Sun, Chao Zhang
semanticscholar +1 more source
Qualitative investigation of the solutions to differential equations. (Application of the skew-symmetric differential forms) [PDF]
arXiv, 2004 The presented method of investigating the solutions to differential equations is not new. Such an approach was developed by Cartan in his analysis of the integrability of differential equations. Here this approach is outlined to demonstrate the role of skew-symmetric differential forms.
arxiv
On the Oscillation of the Generalized Food-Limited Equations with Delay
Aceh International Journal of Science and Technology, 2012 The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay ...
Bamaina M. Muhammad +2 more
doaj
MathematicsA new kind of graph-based contraction in a metric space is introduced in this article. We investigate results concerning the best proximity points and fixed points for these contractions, supported by illustrated examples.
Kanyuta Poochinapan +3 more
doaj +1 more source
Compact integral manifolds of differential systems [PDF]
arXiv, 2010 The boundedness tests for the number of compact integral manifolds of autonomous ordinary differential systems, of autonomous total differential systems, of linear systems of partial differential equations, of Pfaff systems of equations, and of systems of exterior differential equations are proved.
arxiv
Mean-field approximation of counting processes from a differential equation perspective
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
doaj +1 more source
, 2010 In 1984, H. Risken authored a book (H. Risken, The Fokker-Planck Equation: Methods of Solution, Applications, Springer-Verlag, Berlin, New York) discussing the Fokker-Planck equation for one variable, several variables, methods of solution and its ...
S. Sharma, H. Patel
semanticscholar +1 more source
Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper. Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov +2 more
doaj +1 more source
Differential Equations Compatible with KZ Equations [PDF]
arXiv, 2000 We define a system of "dynamical" differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra $\mathbf{g}$. These are equations on a function of $n$ complex variables $z_i$ taking values in the tensor product of $n$ finite dimensional $\mathbf{g}$-modules.
arxiv