Abstract Differential Equations with VMO Coefficients in Half Space and Applications
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Measures of noncompactness, darbo maps and differential equations in abstract spaces
Acta Mathematica Hungarica, 1995Let \(B\) 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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A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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In this paper we prove some new results on abstract second order differential equations of elliptic type with general Robin boundary conditions. The study is performed in Hölder spaces and uses the celebrated Da Prato-Grisvard sum theory. We give necessary and sufficient conditions on the data to obtain a unique strict solution satisfying the maximal ...
CHEGGAG M +4 more
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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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Interpolation Spaces for Initial Values of Abstract Fractional Differential Equations
2006We 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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Functional analysis and differential equations in abstract spaces
The Mathematical Gazette, 2000openaire +1 more source
Generalized Ordinary Differential Equations in Abstract Spaces and Applications
2021openaire +1 more source
Note on perturbation and degeneration of abstract differential equations in Banach space
Funkcialaj Ekvacioj, 1966Tanabe, Hiroki, Watanabe, Michiaki
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