Results 251 to 260 of about 178,070,624 (286)

Infinite Systems of Differential Equations II

Canadian Journal of Mathematics, 1979
This paper is a continuation of earlier work [6], in which we studied the existence and the stability of solutions to the infinite system of nonlinear differential equations(1.1)i = 1, 2, …. Here s is a nonnegative real number, Rs = {t ∈ R: t ≧ s}, and denotes a sequence-valued function.
McClure, J. P., Wong, R.
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DIFFERENTIAL EQUATIONS OF INFINITE ORDER AND INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS

Mathematics of the USSR-Izvestiya, 1970
In this article a one-to-one correspondence is established between solutions of differential equations of infinite order with constant coefficients and infinite systems of first-order linear differential equations. With the aid of this correspondence new results in the theory of analytic solutions of differential equations of infinite order are ...
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Infinite Systems of Differential Equations

1985
One of the most tantalizing areas of modern mathematical physics is the theory of turbulence. The complexity of the physical process, combined with the nonlinearity of the hydrodynamical equations, precludes any direct analytic approach and forces us to study various types of approximation techniques.
Richard Bellman, George Adomian
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Applications to Infinite Systems of Differential Equations

2014
In this chapter we apply the machinery developed previously to the theory of ordinary differential equations in Banach spaces. In particular, we show that several infinite systems of differential equations in some Banach sequence spaces can be treated from the view point of the theory of differential equations in Banach spaces.
Józef Banaś, Mohammad Mursaleen
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On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations

Differential Equations, 2009
We study the limit properties of solutions for a class of systems of ordinary differential equations as the number of equations and a certain parameter grow unboundedly. We show that the sequence of functions formed by the last components of solutions of such systems has a repeated limit.
G. V. Demidenko, V. A. Likhoshvai, A. V. Mudrov   +2 more
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Applications of measures of noncompactness to the infinite system of differential equations in spaces

Nonlinear Analysis: Theory, Methods & Applications, 2012
Using the technique of the Hausdorff noncompactness measure, the authors obtain an existence result for a class of infinite systems of differential equations in \(l_{p}\) (\(1\leq ...
Mursaleen, M., Mohiuddine, S. A.
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Systems of essentially infinite-dimensional differential equations

Ukrainian Mathematical Journal, 2012
We investigate systems of differential equations with essentially infinite-dimensional elliptic operators (of the Laplace–Levy type). For nonlinear systems, we prove theorems on the existence and uniqueness of solutions. For a linear system, we give an explicit formula for the solution.
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ON INFINITE SYSTEMS OF STOCHASTIC DIFFERENTIALEQUATIONS

2016
The author considers a countable system of stochastic differential equations describing the evolution of a system of pairwise interacting particles randomly perturbed by independent Wiener noises. Under certain assumptions regarding the interaction potential it is proved that there exists a local weak solution of the system, and it is weakly locally ...
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Triangle matrix and infinite linear systems of differential equations [PDF]

, 2009
In this work we deal with the solvability of infinite systems of differential equations of the form X0 (t) = TX (t) + B where T is one of the well known triangles ? (?), C (?), or the weighted mean matrix Nq and B is a given infinite column matrix t (b1, b2, ...., bn, ...). We use Matlab to represent our solutions.
Fres, Ali, Malafosse, Bruno de
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An Infinite System of Nonlinear Differential Equations

SIAM Review, 1976
A. S. Perelson, C. Delisi
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