Results 41 to 50 of about 2,088,895 (372)
Computing the Galois group of a linear differential equation
Introduction. We show how to determine effectively the (Picard-Vessiot-) Galois group of an ordinary linear differential equation over Q(t). Model-theoretically, let V be the solution set to the equation in a universal domain for differential fields, and
E. Hrushovski
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Reversible linear differential equations
16 pages v2 minor changes v3 minor changes v4 major conceptual changes v5 minor changes v6 major conceptual changes v7 an important mistake was corrected v8 minor ...
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Effects of chronic browsing on life‐history traits of an irruptive large herbivore population
This study aimed to determine the relationship between diet quality, body mass, and size (hind foot length), and female reproduction and sought to identify the mechanism by which high density under severe food limitations is maintained. Our results demonstrated that sika deer introduced to Nakanoshima Island have maintained high densities through high ...
Koichi Kaji+9 more
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This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier+6 more
wiley +1 more source
Limits of solutions of a perturbed linear differential equation
Using interesting techniques, an existence result for the problem $\ddot{x}+2f\left( t\right) \dot{x}+x+g\left( t,x\right) =0,$ $\lim\limits_{t\rightarrow +\infty }x\left( t\right) =\lim\limits_{t\rightarrow +\infty }\dot{x}\left( t\right) =0,$ is given ...
C. Avramescu, Cristian Vladimirescu
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
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Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlev\'e VI
We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative integers with hypergeometric weights and show that they satisfy a system of non-linear difference equations and a non-linear second order differential ...
Filipuk, Galina, Van Assche, Walter
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Solving Linear Differential Equations [PDF]
The theme of this paper is to 'solve' an absolutely irreducible differential module explicitly in terms of modules of lower dimension and finite extensions of the differential field K. Representations of semi-simple Lie algebras and differential Galo is theory are the main tools. The results extend the classical work of G. Fano.
Khuong An Nguyen, M. van der Put
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Network topology drives population temporal variability in experimental habitat networks
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu+3 more
wiley +1 more source
Teaching Partial Differential Equations with CAS [PDF]
Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel+5 more
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