Results 161 to 170 of about 219,754 (206)

Differential equations in spaces of abstract stochastic distributions

Doklady Mathematics, 2016
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Melnikova, Irina V., Alshanskiy, M. A.
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Differential equations in spaces of abstract stochastic distributions

Stochastics and Stochastic Reports, 2002
We 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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Fractional differential equations through Laguerre expansions in abstract spaces: error estimates

Integral Transforms and Special Functions, 2006
An 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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Abstract Differential Equations with VMO Coefficients in Half Space and Applications

Mediterranean Journal of Mathematics, 2015
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Differential equations in abstract spaces

1997
In 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
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Existence of Solutions of Abstract Differential Equations in a Local Space

Canadian Mathematical Bulletin, 1973
Let H be a Hilbert space; ( , ) and | | represent the scalar product and the norm respectively in H. Let A be a closed linear operator with domain DA dense in H and A* be its adjoint with domain DA*. DA and DA*are also Hilbert spaces under their respective graph scalar product. R(λ; A*) denotes the resolvent of A*; complex plane. We write L = D — A, L*
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Controllability Results for Non Densely Defined Impulsive Fractional Differential Equations in Abstract Space

Differential Equations and Dynamical Systems, 2019
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Kumar, Ashish, Pandey, Dwijendra N.
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