Results 21 to 30 of about 987 (103)
On One Evolution Equation of Parabolic Type with Fractional Differentiation Operator in S Spaces
International Journal of Differential Equations, Volume 2020, Issue 1, 2020., 2020 In the paper, we investigate a nonlocal multipoint by a time problem for the evolution equation with the operator A = (I − Δ)ω/2, Δ = (d2/dx2), and ω ∈ [1; −2) is a fixed parameter. The operator A is treated as a pseudodifferential operator in a certain space of type S. The solvability of this problem is proved.
V. V. Gorodetskiy +3 more
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Asymptotically Almost Periodic Generalized Ultradistributions and Application [PDF]
Sahand Communications in Mathematical AnalysisThe paper aims to introduce and study an algebra of asymptotically almost periodic generalized ultradistributions. These generalized ultradistributions contain asymptotically almost periodic ultradistributions and asymptotically almost periodic ...
Meryem Slimani, Fethia Ouikene
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Karpatsʹkì Matematičnì Publìkacìï, 2013 The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
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International Journal of Mathematics and Mathematical Sciences, Volume 2018, Issue 1, 2018., 2018 Let Sω′(R) be the space of tempered distributions of Beurling type with test function space Sω(R) and let Eω,p be the space of ultradifferentiable functions with arbitrary support having a period p. We show that Eω,p is generated by Sω(R). Also, we show that the mapping Sω(R)→Eω,p is linear, onto, and continuous and the mapping Sω,p′(R)→Eω,p′ is linear
Byung Keun Sohn, Jean Michel Rakotoson
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On the Projective Description of Weighted (LF)‐Spaces of Continuous Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important role in Fourier analysis.
Catherine V. Komarchuk +2 more
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Tempered Boehmians and ultradistributions [PDF]
Proceedings of the American Mathematical Society, 1995 An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space Z ′ \mathcal {Z}’ of ultradistributions.
openaire +4 more sources
Time Fractional Schrodinger Equation Revisited
Advances in Mathematical Physics, Volume 2013, Issue 1, 2013., 2013 The time fractional Schrodinger equation (TFSE) for a nonrelativistic particle is derived on the basis of the Feynman path integral method by extending it initially to the case of a “free particle” obeying fractional dynamics, obtained by replacing the integer order derivatives with respect to time by those of fractional order.
B. N. Narahari Achar +3 more
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Perturbation Theory for Abstract Volterra Equations
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We consider additive perturbation theorems for subgenerators of (a, k)‐regularized C‐resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time‐fractional equations, primarily from their importance in modeling of various physical phenomena. We illustrate the results with several examples.
Marko Kostić, Irena Lasiecka
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The wavelet transforms in Gelfand-Shilov spaces [PDF]
, 2015 We describe local and global properties of wavelet transforms of ultradifferentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand-Shilov type spaces and their duals. In particular, we introduce
Pilipovic, Stevan +3 more
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Some Remarks on the Extended Hartley‐Hilbert and Fourier‐Hilbert Transforms of Boehmians
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We obtain generalizations of Hartley‐Hilbert and Fourier‐Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance.
S. K. Q. Al-Omari +2 more
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