Ordinary differential equation
A nonlinear ordinary differential equation associated with the quantum sojourn time
... nonlinear ordinary differential equation on the half-line, with the Dirichlet boundary condition at the ...This equation arises when studying the local maxima of the sojourn time for a free ...
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Revisiting university students’ knowledge that involves basic differential equation questions
... Student PS4, who was the only one who dealt with the question Q10 and not Q7, answered hardly any of the questions set in the questionnaire; she only an- swered the problems Q1 and Q10 (see Figures 2 and 3). In spite of ...
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Existence and uniqueness of solutions to distributional differential equations involving Henstock–Kurzweil–Stieltjes integrals
... the ordinary differential equation (in short ODE); when u is a function of bounded variation, Du can be identified with a Stieltjes measure, and ...measure differential equation (in ...
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Solutions to the Painlevé V equation through supersymmetric quantum mechanics
... In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order nonlinear ordinary differential ...
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Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro Geometric Dimension One
... algebraic ordinary differential equation (AODE) is a polynomial relation among a function, (finitely many of) their derivatives, and the variable of ...linear ordinary differential ...
20
Nonlinear analysis of a simple model of temperature evolution in a satellite
... balance equation as a non-dimensional ordinary differential equation (ODE), which is nonlinear and ...actual equation. That autonomous equation is exactly soluble and guides our ...
13
A Differential Fluctuation Theorem †
... The differential fluctuation theorem allows us to use only the nonequilibrium work values that accompany transitions between subsets of the complete equi- librium ensemble to recover the relative partition ...
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Tool for Monitoring Hillslope Stability Considering Precipitation Data
... partial differential equation and theoretical information of hydrogeological parameters, such as porosity, hydraulic conductivity, thickness and other data obtained by indirect measurements with geographic ...
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A non-mediational approach to emotions and feelings
... Russell (2015) proposes a unit of analysis called “emotional episode,” which is not qualitatively different from a non- emotional episode. Thus, it is not a technical term but a class of phenomena ordinarily defined. ...
9
Numerical resolution of a reinforced random walk model arising in haptotaxis
... two differential equations, one parabolic equation with a second order non-linear term (haptotaxis term) coupled to an ODE in a bounded two dimensional ...
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Pullback, forward and chaotic dynamics in 1d nonautonomous linear-dissipative equations
... non-autonomous differential equation describes the asymptotic behaviour of the ...linear differential equation and show the richness of non-autonomous dynamics by focusing on the continuity, ...
33
TítuloA numerical strategy for telecommunications networks capacity planning under demand and price uncertainty
... partial differential equation (PDE) formulation combined with a dynamic programming strategy is posed in [2] to solve the network planning capacity ...
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Pattern formation in clonal plants
... In Sec. 1.2 we describe how we derived the equation and the assumptions we took. In Sec. 2.1 we perform the linear stability analysis of the homogeneous system showing that it reproduces the basic bifurcation ...
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OR-F-004.
... In Chapter 4 we explain that in this case the backward recursion scheme for computing the Bessel coefficients is stable. In more complicated recursion schemes this information is not available. The scheme may be of large ...
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Single optical surface imaging designs with unconstrained object to image mapping with non-rotational symmetry
... the differential equation method for 3D rotational design without astigmatism (at the small pupil limit) on a curved object surface has been extended to 3D freeform ...
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Differential elimination by differential specialization of Sylvester style matrices
... generic ordinary Laurent differential polynomials in n − 1 differential variables, has been recently presented in [21] (and in [15], for the non sparse nonhomogeneous polynomial case), together with a single ...
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Birational transformations preserving rational solutions of algebraic ordinary differential equations
... the equation can be different. So, it may happen that x does not appear, and hence an autonomous equation may be equivalent to a non-autonomous one (see Example 4.1). Also, we may have equivalent equations ...
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On Symbolic Solutions of Algebraic Partial Differential Equations
... In this paper we present a general procedure for solving first-order au- tonomous algebraic partial differential equations in two independent vari- ables. The method uses proper rational parametrizations of ...
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Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
... Here, is considered as a small complex perturbation parameter. The study of singularly perturbed ordinary and partial differential equations has been recently developed by several authors. We can cite [3, ...
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Differential Equation schaum's.pdf
... The two roots of the indicial equation can be real or complex. If com- plex they will occur in a conjugate pair and the complex solutions that they produce can be combined (by using Euler’s relations and the ...
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