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Solution sets of differential equations in abstract spaces

, 1996
Aim of the monograph is to analyze the structure of the solution set of a differential equations in the more general case of abstract topological (infinite dimensional) spaces. Specifically, we consider both the spaces with a paucity of useful properties, e.g. locally convex spaces, and the more richly endowed spaces, e.g. Banach or Hilbert spaces. The
R. DRAGONI, J. W. MACKI, P. NISTRI, ZECCA, PIETRO   +3 more
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Differential Equations on Measures and Functional Spaces

Birkhäuser Advanced Texts Basler Lehrbücher, 2019
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces.
Vassili N Kolokoltsov
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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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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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Abstract Differential Equations with VMO Coefficients in Half Space and Applications

Mediterranean Journal of Mathematics, 2015
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Measures of noncompactness, darbo maps and differential equations in abstract spaces

Acta Mathematica Hungarica, 1995
Let \(B\) be a real Banach space. The existence theory for the initial value problem \(y'(t)= q(t) f(t, y(t))\), \(t\in (0, T]\), \(y(0)= a\in B\), \(q\in C (0, T]\), \(q>0\) and \(\int^T_0 q(s) ds< \infty\), and for the Dirichlet boundary value problem \(y''+ \beta y' - \varepsilon y= q(t) f(t, y, y')\), \(0< t< 1\), \(y(0)= a\in B\), \(y(1)= b\in B\);
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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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A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces

Bulletin of the Iranian Mathematical Society, 2019
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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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