Results 171 to 180 of about 219,754 (206)
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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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Applicable Analysis, 2012
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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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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Solution sets of differential equations in abstract spaces
1996Aim 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 +3 more
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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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Journal of Applied Analysis, 1997
Summary: We consider the problem to minimize an integral functional defined on the space of absolutely continuous functions and measurable controls with values in an infinite-dimensional complex Banach space. The states are governed by abstract first-order semilinear differential equations and are subject to periodic or anti-periodic type boundary ...
Ledzewicz, U., Nowakowski, A.
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Summary: We consider the problem to minimize an integral functional defined on the space of absolutely continuous functions and measurable controls with values in an infinite-dimensional complex Banach space. The states are governed by abstract first-order semilinear differential equations and are subject to periodic or anti-periodic type boundary ...
Ledzewicz, U., Nowakowski, A.
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
exaly
Maximal Regularity for Abstract Differential Equations in Higher Order Interpolation Spaces
2023Giovanni Dore, Alberto Venni
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Generalized Ordinary Differential Equations in Abstract Spaces and Applications
2021openaire +1 more source
Functional analysis and differential equations in abstract spaces
The Mathematical Gazette, 2000openaire +1 more source