Results 11 to 20 of about 192,749 (224)
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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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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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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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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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
Weak order for the discretization of the stochastic heat equation [PDF]
, 2007 In this paper we study the approximation of the distribution of $X_t$ Hilbert--valued stochastic process solution of a linear parabolic stochastic partial differential equation written in an abstract form as $$ dX_t+AX_t dt = Q^{1/2} d W_t, \quad X_0=x ...
Debussche, Arnaud, Printems, Jacques
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Source degenerate identification problems with smoothing overdetermination
Advances in Difference Equations, 2017 We consider degenerate identification problems with smoothing overdetermination in abstract spaces. We establish an identifiability result using a projection method and suitable hypotheses on the operators involved and develop an identification method by
Fadi Awawdeh +2 more
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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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Asymptotic model of linearly visco-elastic Kelvin–Voigt type plates via Trotter theory
Advances in Difference Equations, 2019 We confirm the study (Licht in C. R., Méc. 341:697–700, 2013) devoted to the quasi-static response for a visco-elastic Kelvin–Voigt plate whose thickness goes to zero.
Yotsawat Terapabkajornded +2 more
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