Results 241 to 250 of about 879,634 (286)

Pseudoparabolic Partial Differential Equations

SIAM Journal on Mathematical Analysis, 1970
This is the publisher’s final pdf. The published article is copyrighted by the Society for Industrial and Applied Mathematics and can be found at: http://epubs.siam.org/loi/sjmaah.
Showalter, R. E., Ting, T. W.
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On the Lyapunov Partial Differential Equation

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
Solving the Lyapunov partial differential equation one can obtain necessary and sufficient conditions for stability of a dynamical system. We establish conditions under which it can be solved, and construct the solution in the case of curve systems - those generated by nabla-Killing vector fields of the connection on the manifold where the system ...
Felipe M. Pait, Diego Colón
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Partial Differential Equations and Difference Equations

Proceedings of the American Mathematical Society, 1965
(1. 1) Pi(alax)y = ? (1 _ i _ m) where x = (x1, * , xn), a/ax = (a/ax1, *, O/0xn). The Pi's are assumed to be homogeneous polynomials with real coefficients. The term solution is used to include the generalized solutions. A generalized solution is any function continuous on R which is a uniform limit on compact subsets of CX solutions (see [2, p. 65]).
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ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Mathematics of the USSR-Sbornik, 1975
In this paper we consider the Cauchy problem for second-order stochastic partial differential equations of parabolic type. We study linear and nonlinear equations for filtering Markov diffusion processes. Theorems on the existence, uniqueness and smoothness of solutions are proved.Bibliography: 21 items.
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On The Factorization of Partial Differential Equations

Canadian Journal of Mathematics, 1987
In [4] N. Steinmetz used Nevanlinna theory to establish remarkably versatile theorems on the factorization of ordinary differential equations which implied numerous previous results of various authors. (Here factorization is taken in the sense of function composition as introduced by F.
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Differential games with partial differential equations

1975
Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
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On Hyperbolic Partial Differential Equations

American Journal of Mathematics, 1952
where p = zx, q = zy, it is assumed that f is continuous in (x, y, z, p, q) and satisfies a uniform Lipschitz conditioni with respect to (z, p, q). It will be shown (Section 2) that the assumption of a Lipschitz. condition with respect to z can be omitted in these existence theorems, though not in the uniqueness theorems.
Hartman, Philip, Wintner, Aurel
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A Differentiation Index for Partial Differential-Algebraic Equations

SIAM Journal on Scientific Computing, 2000
Summary: A differentiation index for nonlinear partial differential-algebraic equations is presented. Determination of the differentiation index with respect to a direction in the space of independent variables uncovers all equations that must be satisfied by the Cauchy data on the hyperplane orthogonal to that direction.
Wade S. Martinson, Paul I. Barton
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Similarity Transformations for Partial Differential Equations

SIAM Review, 1998
The special forms of Lie group transformations, such as scaling, translation and the spiral group are used to find the so-called similarity solutions to a couple of basic equations in mathematical physics, namely, the wave equation in mechanics and the boundary layer equation in fluid mechanics.
Mehmet Pakdemirli, Muhammet Yürüsoy
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PDEL—a language for partial differential equations

Communications of the ACM, 1970
Conventional computer methods available to solve continuous system problems characterized by partial differential equations are very time-consuming and cumbersome. A convenient, easy to learn and to use, high level problem oriented language to solve and study partial differential equation problems has been designed; a practical translator ...
Alfonso F. Cardenas, Walter J. Karplus
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