NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES [PDF]
, 2008 International audienceIn this paper we give new results on complete abstract second order differential equations of elliptic type in the framework of Hölder spaces.
Favini, Angelo +4 more
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Solvability and completeness of solutions of parabolic differential-operator equations [PDF]
Математичні Студії, 2011 We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj
First-Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, 2015 We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
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Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion [PDF]
, 2016 Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved.
Blouhi, Tayeb +2 more
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Multi-dimensional (ω, c)-almost periodic type functions and applications
Nonautonomous Dynamical Systems, 2021 In this paper, we analyze various classes of multi-dimensional (ω, c)-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented.
Kostić M.
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Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces
Computers & Mathematics with Applications, 2021 Producción ...
Cuesta Montero, Eduardo, Ponce, Rodrigo
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An abstract framework for parabolic PDEs on evolving spaces
, 2015 We present an abstract framework for treating the theory of well-posedness of solutions to abstract parabolic partial differential equations on evolving Hilbert spaces.
Alphonse, Amal +2 more
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Notes on almost-periodicity in topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 1986 A study is made of almost-periodic functions in topological vector spaces with applications to abstract differential equations.
Gaston Mandata N'guérékata
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Boundary Value Problems, 2020 In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces.
Bo Zhu +3 more
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Operator splittings and spatial approximations for evolution equations [PDF]
, 2009 The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved.
András Bátkai +4 more
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