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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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Stochastic Differential Equations

1985
We now return to the possible solutions X t (ω) of the stochastic differential equation (5.1) where W t is 1-dimensional “white noise”. As discussed in Chapter III the Ito interpretation of (5.1) is that X t satisfies the stochastic integral equation or in differential form (5.2) .
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Estimating unknown parameters in uncertain differential equation by maximum likelihood estimation

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
Yang Liu, Baoding Liu
semanticscholar   +1 more source

Differential equations

1988
Publisher Summary This chapter presents differential equation. A differential equation is the one that contains differential coefficients. Differential equations are classified according to the highest derivative that occurs in them. Starting with a differential equation it is possible, by integration and by being given sufficient data to determine ...
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Difference Equations, Differentiation and Differential Equations

1979
Publisher Summary This chapter describes difference equations, differentiation, and differential equations. Difference equations occur in many branches of science both directly and indirectly, when one approximates a differential equation to obtain a numerical solution on a digital computer.
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Systems of differential equations

1975
In this chapter we will consider simultaneous first-order differential equations in several variables, that is, equations of the form $$\begin{gathered} \frac{{d{x_1}}}{{dt}} = {f_1}\left( {t,{x_1},...,{x_n}} \right), \hfill \\ \frac{{d{x_2}}}{{dt}} = {f_2}\left( {t,{x_1},...,{x_n}} \right), \hfill \\ \vdots \hfill \\ \frac{{d{x_n}}}{{dt}} = {f_n ...
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Differential Equations

2016
Publisher Summary Differential equations occur in many physical problems. This chapter opens up with the explanation of some of these problems. To solve dy/dx =f(x,y) over the x range [a, b], the value is needed to know of y(a), which is called the initial value. Problems of this type are called initial value problems.
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Partial Differential Equations

1986
The formation of ordinary linear differential equations and their solution by various methods were covered in some detail in Programmes 24, 25, 26 of the previous year’s work as presented in Engineering Mathematics (second edition) and reference to these sections before undertaking the new work of this programme could be beneficial—especially Programme
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A general memristor-based partial differential equation solver

Nature Electronics, 2018
Mohammed Affan Zidan   +6 more
semanticscholar   +1 more source

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