Results 151 to 160 of about 428,778 (188)

Hypergeometric Functions and Parabolic Partial Differential Equations

Journal of Dynamical and Control Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Partial averaging of functional differential equations

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
Develops a framework for averaging functional differential equations (FDEs) with two time scales. Averaging is performed on the fast time system, while slow time is 'frozen.' This creates an averaged equation which is slowly time-varying, hence the terminology of partial averaging.
B. Lehman, S.P. Weibel
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Functional Analysis and Partial Differential Equations

2000
[no abstract available]
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Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of IVP for partial hyperbolic differential equations with fractional order.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Function Spaces and Partial Differential Equations

2015
AbstractThis book presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of ‘partial differential equations’ and the associated ‘function spaces’. It begins with a quick review of basic properties of harmonic functions and Poisson integrals and then moves into a detailed study of Hardy spaces.
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Green’s Functions for Partial Differential Equations

1985
So far, we have considered Green’s functions only for ordinary differential equations, i.e., in one-dimensional problems. However, Green’s functions are useful for multidimensional spaces and general curvilinear coordinates as well as Cartesian coordinates.
Richard Bellman, George Adomian
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Numerical solution of retarded functional differential equations as partial differential equations

IFAC Proceedings Volumes, 2000
Abstract The initial value problem for Delay Differential Equations (DDEs) (1) y 1 ( t ) = f ( t , y ( t ) , y ( t − τ 1 ) , … , y ( t − τ n ) ) , t ≥ t 0 , y ( t ) = φ ( t ) , t ≤ t 0 .
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Generating Functions, Difference-Differential and Partial-Differential Equations

IEEE Transactions on Education, 1970
A series solution approach to solving partial-differential equations can be based on difference-differential equations. The approach is explained and used to obtain an analytic solution in examples. Computational methods can be used to obtain a finite number of the series coefficient functions, and hence an approximate solution.
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Stochastic Functional (Partial) Differential Equations

2013
In this chapter we investigate Harnack/shift Harnack inequalities and derivative formulas for stochastic functional differential equations. In this case, the strong or mild solution is no longer Markovian. These inequalities and formulas are therefore established for the semigroup associated with the functional (or segment) solutions.
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Carathéodory Functions in Partial Differential Equations

2016
We show how Caratheodory functions can be used in solving problems in partial differential equations.
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