Results 271 to 280 of about 26,170 (302)

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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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.
openaire   +1 more source

Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect

Journal of Differential Equations, 2022
Hongbin Wang
exaly  

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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Existence of solutions for impulsive partial neutral functional differential equations

Journal of Mathematical Analysis and Applications, 2007
Eduardo Hernández M, Hernán R Henriquez   +1 more
exaly  

Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

Journal of Differential Equations, 2020
Weihua Jiang, Junping Shi
exaly  

Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional–differential equations and applications

Journal of Mathematical Analysis and Applications, 2007
Toka Diagana
exaly  

Existence for a class of partial functional differential equations with infinite delay

Nonlinear Analysis: Theory, Methods & Applications, 2001
Mostafa Adimy, Hassane Bouzahir
exaly