Results 321 to 330 of about 905,221 (366)

Ordinary Differential Equations

1978
Linear differential equations with constant coefficients are an important area of application of the Laplace transform. As a prelude to the discussion of such problems we discuss first two particularly simple examples, since the connection with the classical methods of solution is readily apparent in these cases.
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Ordinary Differential Equations [PDF]

, 1983
We link here directly with the shrinking lemma, and this section may be read immediately after the first section of the preceding chapter.
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Pade´ approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain

, 1997
We describe a four-step algorithm for solving ordinary differential equation nonlinear boundary-value problems on infinite or semi-infinite intervals.
J. Boyd
semanticscholar   +1 more source

Ordinary differential equations

2015
A large part of the natural phenomena occurring in physics, engineering and other applied sciences can be described by a mathematical model, a collection of relations involving a function and its derivatives.
Anita Tabacco, Claudio Canuto
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Asymptotic behaviour and expansions of solutions of an ordinary differential equation

, 2004
An ordinary differential equation of quite general form is considered. It is shown how to find the following near a finite or infinite value of the independent variable by using algorithms of power geometry: (i) all power-law asymptotic expressions for ...
A D Bruno
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Ordinary Differential Equations [PDF]

, 2013
This chapter examines the existence and multiplicity of periodic solutions for nonlinear ordinary differential equations. The first section of the chapter investigates a nonlinear periodic problem involving the scalar p-Laplacian for 1 < p < + ∞ in the principal part and a smooth potential.
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos S. Papageorgiou   +2 more
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Multivalued Differential Equations and Ordinary Differential Equations

SIAM Journal on Applied Mathematics, 1970
(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Differential Equations: Ordinary

2000
There is no more useful tool for the study of differential equations, in particular if they are in two dimensions, than the phase portrait. Many important systems both in physics and in economics in fact live in two dimensions. All second order systems are two dimensional.
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Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions

, 1997
We study the existence and approximation of solutions for a nonlinear second order ordinary differential equation with Dirichlet boundary value conditions.
J. Nieto
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Numerical solutions of the parabolic wave equation: An ordinary‐differential‐equation approach

, 1980
General purpose, efficient numerical ordinary‐differential‐equation (ODE) methods, combined with the employment of a predictor–corrector procedure, are introduced for solving the underwater acoustic parabolic wave equation.
Ding Lee, J. Papadakis
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