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Differential equations in spaces of abstract stochastic distributions
Stochastics and Stochastic Reports, 2002We develop the theory of stochastic distributions with values in a separable Hilbert space, and apply this theory to the investigation of abstract stochastic evolution equations with additive noise.
Filinkov, A., Sorensen, J.
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Differential equations in abstract spaces
1997In this chapter, we are concerned with the initial value problem: $$\left\{ {\begin{array}{*{20}{c}} {y'\left( t \right) = f\left( {t,y\left( t \right)} \right){\text{ }}t \in \left[ {0,T} \right]} \\ {y\left( 0 \right) = a \in E;} \end{array}} \right.$$ (1.1) where E is a real Banach space and f : [0, T] × E → E has a decomposition f = g + h
D. O’Regan
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Fractional differential equations through Laguerre expansions in abstract spaces: error estimates
Integral Transforms and Special Functions, 2006An approximation procedure by the means of expansion with respect to Laguerre orthogonal basis of the space is given. It is applied to solutions of a class of convolution equations, by transforming them to corresponding systems of algebraic equations for the coefficients.
Pilipović, Stevan, Stojanović, Mirjana
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On approximation of inverse problem for abstract parabolic differential equations in Banach spaces
jiip, 2007The 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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Generalized Ordinary Differential Equations in Abstract Spaces and Applications
2021openaire +2 more sources
Functional analysis and differential equations in abstract spaces
The Mathematical Gazette, 2000Nick Lord
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Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces
, 2021We deal with some impulsive Caputo-Fabrizio fractional differential equations in b b -metric spaces. We make use of α - ϕ \alpha \text{-}\phi -Geraghty-type contraction. An illustrative example is the subject of the last section.
J. Lazreg +3 more
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Differential equations in spaces of abstract stochastic distributions
Doklady Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melnikova, Irina V., Alshanskiy, M. A.
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