Differential equations in abstract spaces

Results 271 to 280 of about 4,901 (302)

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On approximation of inverse problem for abstract parabolic differential equations in Banach spaces

jiip, 2007
The paper is devoted to the approximation of a control element for an abstract parabolic equation. The presentation is given for general approximation schemes, which includes finite element methods, finite difference schemes, projection methods. We apply an iteration-approximation method for the investigation of inverse problems for parabolic equations.
Prilepko, A., Piskarev, S., Shaw, S.-Y.
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Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations

2006
We consider the parabolic evolutionary equation $$ D_t^\beta (u_t - z) + Au = f,{\text{ }}u{\text{(0) = }}y,{\text{ }}u_t (0) = z $$ , in continuous interpolation spaces allowing a singularity as t → 0. Here β ∈ (0, 1). We analyze the corresponding trace spaces and show how they depend on β and on the strength of the singularity. The results are
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Stochastic Differential Equations in $$L^{p}$$-Spaces

Lecture notes in operations research, 2023
Christos Floros, Floros Christos
exaly

Functional analysis and differential equations in abstract spaces

The Mathematical Gazette, 2000
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Generalized Ordinary Differential Equations in Abstract Spaces and Applications

2021
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Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control

Annals of Probability, 2002
Marco Fuhrman
exaly

Stochastic partial differential equations in M-type 2 Banach spaces

Potential Analysis, 1995
Zdzisław Brzeźniak, Brzeźniak Zdzisław +1 more
exaly

Complete second order differential equations in Banach spaces with dynamic boundary conditions

Journal of Differential Equations, 2004
Ti-Jun Xiao, Jin Liang
exaly