Results 11 to 20 of about 3,374 (246)
On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We consider abstract differential equations of the form u′(t)=Au(t)+f(t) or u″(t)=Au(t)+f(t) in Banach spaces X, where f(⋅), ℝ→X is almost-periodic, while A is a linear operator, 𝒟(A)⊂X→X.
Samuel Zaidman
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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
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Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P. +12 more
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Abstract Cauchy problems for second order linear differential equations in a Banach space
Hiroshima Mathematical Journal, 1987 Let A be a closed linear operator in a Banach space X and let Y be a linear manifold of X. Assume that (a) Y is a normed space under a certain norm \(\|| \cdot \||\) which is stronger than the original norm \(\| \cdot \|\) of X; (b) there is \(\omega \geq 0\) such that for each \(\lambda >\omega\), the range \(R(\lambda^ 2-A)\) contains Y, \(R(\lambda^
Takenaka, Tosiharu, Okazawa, Noboru
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Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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Lp-exact controllability of partial differential equations with nonlocal terms [PDF]
, 2022 The paper deals with the exact controllability of partial differential equations by linear controls. The discussion takes place in infinite dimensional state spaces since these equations are considered in their abstract formulation as semilinear ...
Perrotta, Stefania +2 more
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Abstract and Applied Analysis, 2013 For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces.
Alberto Favaron, Angelo Favini
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Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
, 2001 The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Farkas, Walter +4 more
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BMC Bioinformatics, 2022 Background Building biological networks with a certain function is a challenge in systems biology. For the functionality of small (less than ten nodes) biological networks, most methods are implemented by exhausting all possible network topological ...
Guo Mao +5 more
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On a class of abstract degenerate fractional differential equations of parabolic type [PDF]
, 2018 summary:In this paper, we investigate a class of abstract degenerate fractional differential equations with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable ...
Kostić, Marko, Kostić Marko
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