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Ordinary Differential Equations

1970
The numerical treatment of ordinary differential equations is a field whose scope has broadened quite a bit over the last 50 years. In particular, a whole spectrum of different stability conditions has developed. Since this chapter is not the place to present all details, we concentrate on the most basic concept of stability.
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When Is an Ordinary Differential Equation Separable

, 1985
(1985). When Is an Ordinary Differential Equation Separable? The American Mathematical Monthly: Vol. 92, No. 6, pp. 422-423.
David Scott
semanticscholar   +1 more source

Ordinary Differential Equations

2000
We shall speak of ordinary differential equation if an equation contains time-dependent (or more generally, scalar-dependent) variables as well as their derivatives with respect to time (or another scalar). Since we shall always consider ordinary differential equations in this book, we shall drop the adjective ordinary. We shall see the deep similarity
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Applications to Ordinary Differential Equations

1971
Publisher Summary The theories of ordinary and partial differential equations are the fruitful sources of integral equations. In the quest for the representation formula for the solution of a linear differential equation in such a manner so as to include the boundary condition or initial condition explicitly, one is always led to an integral equation.
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Ordinary Differential Equations

2019
The concept of first integrals of ODEs is introduced. Application is made to Newton’s second law of motion in one dimension.
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Ordinary Differential Equations.

The American Mathematical Monthly, 1963
J. C. Burkill, Gian-Carlo Rota, G. Birkhoff   +2 more
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Ordinary Differential Equations

1996
We begin with a general form of the problem that will occupy our attention throughout most of Chapter I. Consider the linear two-point boundary value problem $$ Lu: = - \varepsilon u'' + b\left( x \right)u' + c\left( x \right)u = f\left( x \right)\quad for\quad x \in \left( {d,e} \right), $$ with the boundary conditions $$ \begin{gathered} {\
Lutz Tobiska, Martin Stynes, Hans-Görg Roos   +2 more
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Solving Ordinary Differential Equations

1999
Contribution à un ouvrage.
Postel, Frank, Zimmermann, Paul
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Ordinary Differential Equation Models for Adoptive Immunotherapy

Bulletin of Mathematical Biology, 2018
Anne M. Talkington, Claudia Dantoin, R. Durrett   +2 more
semanticscholar   +1 more source

Ordinary Differential Equations

1989
The major purpose of the present chapter is to demonstrate the use of the volume integral method in deriving accurate, stable, and physically realistic difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential ...
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