[PDF] Top 20 Nonlinear differential equations and algebraic systems

... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ... See full document

... evolutionary equations: It is possible to treat Maxwell’s equations, the wave equation, the heat equa- tion or general coupled systems in mathematical physics in a unified ... See full document

... DAE systems and the majority of these frameworks deal with DAE systems of index- 1 [11, 13, ...partial differential equation by discretizing the state space ...DAE systems [2] capable of ... See full document

... 12. Bildik, N, Konuralp, A: Two-dimensional differential transform method, Adomian’s decomposition method and variational iteration method for partial differential equations. Int. J. Comput. Math. 83(12), 973-987 ... See full document

... of nonlinear differential ...for differential equations written in semidiscretized method-of-lines ...as differential-algebraic equations ...include systems in ... See full document

... These systems occur in various applications, such as optimal control, electronic circuit simulation, multibody mechanics, ...so-called differential algebraic systems with time varying, see [1, ... See full document

... The short outline of this work is as follows. After some notations and auxiliary lemmas, in Section 2 we recall classical concept of (Lyapunov) exponential stability and its disadvantage, in order to motivate the weak ... See full document

... We are concerned with the positive solutions of an algebraic system depending on a parameter α > 0 and arising in economics. For α > 1 we prove that the system has at least a solution. For 0 < α < 1 we ... See full document

... I f ùi£fJ.CIB is used, then the data structures corresponding to the function and to the gradient and Hessian, or to the Jacobiaii must be set up before numerical computation can begin. Let the GPU tim e which is ... See full document

... time-varying differential-algebraic equation and if T  then it is a time-varying implicit difference ...The differential-algebraic equations (DAEs) are the mathematical models arising ... See full document

... In this section, we present the main result of this paper. We prove the existence of at least one solution to nonlinear problem (), (), and () lying in an admissible bound- ing set. To achieve this, we turn our ... See full document

... living systems regulatorika make it possible to effectively analyze the biological systems regulatory mechanisms functioning at the norm and ...living systems functioning mechanisms, we can use the ... See full document

... In systems engineering, nonlinear differential or integrodifferential equations are solved using multiple dimensional Laplace transform.. A commonly used method for obtaining the inverse[r] ... See full document

... The construction of [m, n] approximation involves only algebraic operations. Each choice of m degree of the numerator and n degree of the denominator, leads to an approximation. The major difficulty in applying ... See full document

... Carath´edory systems which can be applied due to the construction of a suitable regular polyfacial ...differential equations with continuous right-hand sides to Carath´edory ... See full document

... Unitary matrix integrals play a big role. Similarly, integrals over symmetric spaces, like Grassmannians, lead to a variety of important matrix models, which satisfy nonlinear integrable differential ... See full document

... Abstract— An application of three steps Extended Block Backward Differentiation Formulae (EBBDF) for the solutions of semi-explicit index-1 systems of Differential Algebraic Equations (DAEs) ... See full document

... Liem, Stability radius of implicit dynamic equations with constant coefficients on time scales, Systems Control Lett. Du, Stability radii of differential-algebraic equations with struct[r] ... See full document

... In [5] we use a Jackson queueing network (see [10]) to solve some linear systems of equations. A Jackson queueing network is an open network with k nodes such that the inter-arrival time in the node i from ... See full document

... difference equations (IDEs) (also referred to as singular difference equations, discrete-time descriptor systems) because of their appearance in many practical areas, such as the Leontiev dynamic ... See full document