Search Results - "generalized functions"

Boundary Value Problems on a Star Thermal Graph and their Solutions

Authors: L.A. Alexeyeva A.N. Dadayeva D.A. Prikazchikov et al.

Source: Қарағанды университетінің хабаршысы. Математика сериясы, Vol 118, Iss 2 (2025)

Subject Terms: generalized functions method, generalized solution, QA299.6-433, star graph, QA801-939, transmission conditions, temperature, Analytic mechanics, heat flow, Probabilities. Mathematical statistics, Analysis, QA273-280

Access URL: https://doaj.org/article/9cf1f135a9204d5b9d7578b674ab16a6

Calculation models of slabs with one-way connections

Authors: A. K. Yusupov Kh. M. Muselemov R. I. Vishtalov

Source: Вестник Дагестанского государственного технического университета: Технические науки, Vol 52, Iss 1, Pp 227-241 (2025)

Subject Terms: generalized functions, Technology, supports, deflections, slabs, one-sided connections, differential equations, transverse bending, internal forces, displacements, nonlinearities, switching on and off connections

Access URL: https://doaj.org/article/436de3fa835b4023953e7d31ee3b970e

Calculation models of beams with one-way connections

Authors: A. K. Yusupov Kh. M. Muselemov R. I. Vishtalov

Source: Вестник Дагестанского государственного технического университета: Технические науки, Vol 51, Iss 4, Pp 236-248 (2025)

Subject Terms: generalized functions, Technology, supports, deflections, differential equations, transverse bending, beams, one-way connections, internal forces, displacements, nonlinearities, switching on and off connections

Access URL: https://doaj.org/article/84a7b5b1841a4d97a8cef79f3538695e

Colombeau algebras of asymptotically almost automorphic generalized functions: Properties and applications: Colombeau algebras of asymptotically almost automorphic generalized functions: properties and applications

Authors: Chaib, Mohamed Taqbibt, Abdellah Melliani, Said et al.

Source: Analysis. 45:105-114

Subject Terms: 0301 basic medicine, 03 medical and health sciences, Almost and pseudo-almost periodic solutions to ordinary differential equations, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Colombeau algebra, almost automorphic generalized function, generalized function, generalized semigroup, Classical almost periodic functions, mean periodic functions, 0101 mathematics, 01 natural sciences

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Infinitesimal and infinite numbers in applied mathematics

Authors: Bryzgalov, Aleksandr Islami, Kevin Giordano, Paolo

Source: Nonlinear Dynamics. 112:20573-20609

Subject Terms: ddc:510, Generalized functions for nonlinear analysis, 103036 Theoretische Physik, 103018 Materialphysik, 101002 Analysis, 103036 Theoretical physics, Singular dynamical systems, Schwartz distributions, 37Nxx, Non-Archimedean analysis, 12J25, 46F30, 103018 Materials physics, Mathematical Physics, 46Fxx

File Description: application/pdf

Access URL: http://arxiv.org/abs/2401.08554
https://ucrisportal.univie.ac.at/de/publications/ad4f2e91-d23b-4afb-94f8-38124a1f2ef7
https://doi.org/10.1007/s11071-024-10223-8
https://phaidra.univie.ac.at/o:2092501
https://hdl.handle.net/11353/10.2092501
https://doi.org/10.1007/s11071-024-10223-8

Fractional calculus for distributions

Authors: Hilfer, Rudolf Kleiner, Tillmann

Source: Fractional Calculus and Applied Analysis. 27:2063-2123

Subject Terms: General integral transforms, distributions, fractional calculus, 01 natural sciences, Operations with distributions and generalized functions, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, Fractional derivatives and integrals, Classical operational calculus, Integral transforms in distribution spaces, convolution, 0101 mathematics

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7988569
https://doi.org/10.1007/s13540-024-00306-z
https://elib.uni-stuttgart.de/handle/11682/16600
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-166000
https://doi.org/10.18419/opus-16581

Analytic adjoint solution for incompressible potential flows

Authors: Carlos Lozano Jorge Ponsin Instituto Nacional de Técnica Aeroespacial (INTA)

Contributors: Carlos Lozano Jorge Ponsin Instituto Nacional de Técnica Aeroespacial (INTA)

Source: DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial
Instituto Nacional de Técnica Aeroespacial (INTA)

Subject Terms: Generalized functions, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Complex analysis, Physics - Fluid Dynamics, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Aircraft design, Partial differential equations, Aerodynamics, Fluid dynamics, Potential theory, Complex functions, FOS: Mathematics, Mathematics - Numerical Analysis, Physics - Computational Physics

File Description: application/pdf

Access URL: http://arxiv.org/abs/2503.15121
https://pubs.aip.org/aip/pof/article-abstract/37/6/067127/3349360/Analytic-adjoint-solution-for-incompressible
http://hdl.handle.net/20.500.12666/1053

Three versions of Galerkin's method applied to the static deflection of a stepped beam

Authors: Joel Storch Marco Amato Isaac Elishakoff

Source: Vietnam Journal of Mechanics, Vol 46, Iss 2 (2024)

Subject Terms: generalized functions, QC120-168.85, Descriptive and experimental mechanics, stepped beams, 0103 physical sciences, Galerkin's method, TJ1-1570, Mechanical engineering and machinery, 0101 mathematics, 01 natural sciences

Access URL: https://doaj.org/article/20e2b45fadfa416c80a6dbdcda96d2c2

A Distributional Version of the Ferenc Lukács Theorem: A distributional version of the Ferenc Lukács theorem

Authors: Estrada, Ricardo

Source: Sarajevo Journal of Mathematics. 1:75-92

Subject Terms: Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Conjugate functions, conjugate series, singular integrals, Abel-Poisson means, periodic distributions, conjugate Fourier series, Operations with distributions and generalized functions

File Description: application/xml

Access URL: https://zbmath.org/2166224

Fixed point results in soft probabilistic metric spaces

Authors: null Sonam Ramakant Bhardwaj Josika Mal et al.

Source: The Journal of Analysis. 33:139-166

Subject Terms: Fixed-point theorems, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Functional analysis techniques applied to functions of several complex variables, probabilistic metric space, soft sets, fixed points, Menger space, soft topological space

File Description: application/xml

A New Fractional Representation of the Higher Order Taylor Scheme

Authors: Iqbal M. Batiha Iqbal H. Jebril Amira Abdelnebi et al.

Source: Computational and Mathematical Methods, Vol 2024 (2024)

Subject Terms: Economics, FOS: Political science, Social Sciences, Applications of Generalized Functions in Mathematics and Physics, FOS: Law, Nonstandard Analysis, 01 natural sciences, Mathematical analysis, Decision Sciences, QA1-939, FOS: Mathematics, Taylor series, 0101 mathematics, Political science, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Order (exchange), Scheme (mathematics), T57-57.97, Applied mathematics. Quantitative methods, Time-Fractional Diffusion Equation, Nonlinear Models, FOS: Clinical medicine, 4. Education, Politics, Fractional calculus, Applied mathematics, 16. Peace & justice, Fractional Derivatives, Modeling and Simulation, Dentistry, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Medicine, Fractional Calculus, Statistics, Probability and Uncertainty, Calculus (dental), Representation (politics), Law, Mathematics, Finance

Access URL: https://doaj.org/article/a4b2e35c9e2a4c7ca289211cd69d1a97

A Kannappan-Cosine Functional Equation on Semigroups

Authors: Ahmed Jafar Omar Ajebbar Elhoucien Elqorachi

Source: Annales Mathematicae Silesianae, Vol 39, Iss 1, Pp 143-154 (2024)

Subject Terms: kannappan, Fractional Differential Equations, cosine-sine equation, Geometry, Applications of Generalized Functions in Mathematics and Physics, 01 natural sciences, Theory and Applications of Fractional Differential Equations, semigroups, General Mathematics (math.GM), QA1-939, FOS: Mathematics, 0101 mathematics, Mathematics - General Mathematics, Functional Differential Equations, Mathematical Physics, Functional Equations, Trigonometric functions, Nonlinear Models, Applied Mathematics, 39b52, multiplicative function, 39b32, Stability of Functional Equations in Mathematical Analysis, Computer science, Functional Analysis (math.FA), Mathematics - Functional Analysis, additive function, Semilinear Differential Equations, Physical Sciences, Mathematics

Access URL: http://arxiv.org/abs/2305.02924
https://doaj.org/article/5b1b0c10c927434ba98a494bfbaabf21

Universal properties of spaces of generalized functions

Authors: Kebiche, Djameleddine Giordano, Paolo

Source: Journal of Mathematical Analysis and Applications. 551:129687

Subject Terms: Mathematics - Functional Analysis, Generalized functions for nonlinear analysis, 4. Education, FOS: Mathematics, Distributions, 101002 Analysis, 46Fxx, 46F30, 18-XX, Universal properties, Functional Analysis (math.FA)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2404.15730
https://ucrisportal.univie.ac.at/de/publications/25d4a5a1-6add-4452-ace0-d01c5cdf852d
https://phaidra.univie.ac.at/o:2171000
https://hdl.handle.net/11353/10.2171000
https://doi.org/10.1016/j.jmaa.2025.129687

A Unified Approach to Time–Frequency Representations and Generalized Spectrograms: A unified approach to time-frequency representations and generalized spectrograms

Authors: Elena Cordero Gianluca Giacchi Luigi Rodino

Source: Journal of Fourier Analysis and Applications. 31

Subject Terms: Time–frequency analysis, Spectrogram, Short-time Fourier transform, Wigner distribution, Cohen's class, Signal theory (characterization, reconstruction, filtering, etc.), Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, time-frequency analysis, Cohen's class, Short-time Fourier transform, Spectrogram, Time–frequency analysis, Wigner distribution, Operations with distributions and generalized functions, Mathematics - Analysis of PDEs, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, spectrogram, short-time Fourier transform, Integral transforms in distribution spaces, 42A38, 46F10, 46F12, 81S30

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2401.03882
https://zbmath.org/8034231
https://doi.org/10.1007/s00041-024-10142-7
https://link.springer.com/article/10.1007/s00041-024-10142-7
https://hdl.handle.net/11585/1003061
https://doi.org/10.1007/s00041-024-10142-7
https://hdl.handle.net/2318/2067190
https://link-springer-com.bibliopass.unito.it/article/10.1007/s00041-024-10142-7
https://doi.org/10.1007/s00041-024-10142-7

On certain representations of pricing functionals

Authors: Carlo Marinelli

Source: Annals of Finance. 20:91-127

Subject Terms: FOS: Economics and business, Convex payoffs, Option pricing, 0502 economics and business, 05 social sciences, Distributions (generalized functions), 0211 other engineering and technologies, 02 engineering and technology, Pricing of Securities (q-fin.PR), Quantitative Finance - Pricing of Securities, Breeden-Litzenberger formula

Access URL: http://arxiv.org/abs/2109.05564
https://discovery-pp.ucl.ac.uk/id/eprint/10189932/

Analytic properties and numerical representations for constructing the extended beta function using logarithmic mean

Authors: Mohammed Z. Alqarni Mohamed Abdalla

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 12072-12089 (2024)

Subject Terms: extended beta function, Applications of Generalized Functions in Mathematics and Physics, Evolutionary biology, Relationship between string theory and quantum field theory, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, Quantum, Beta function (physics), QA1-939, FOS: Mathematics, logarithmic mean, extended beta logarithmic distribution, Logarithm, 0101 mathematics, Biology, Mathematical Physics, BETA (programming language), Applied Mathematics, Physics, 4. Education, Statistics, Pure mathematics, Quantum gravity, Applied mathematics, Computer science, Programming language, Function (biology), Physical Sciences, Mathematics

Access URL: https://doaj.org/article/c1d13fbe1e48446f9da1e0ff2e94cc9b

Solving the Fractional Schrödinger Equation with Singular Initial Data in the Extended Colombeau Algebra of Generalized Functions

Authors: Ali El Mfadel Saïd Melliani Abdellah Taqbibt et al.

Source: International Journal of Differential Equations, Vol 2023 (2023)

Subject Terms: Colombeau Algebras, Crystallography, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Applications of Generalized Functions in Mathematics and Physics, Stability of Functional Equations in Mathematical Analysis, 01 natural sciences, Fractional Derivatives, Chemistry, Generalized Functions, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Fractional Calculus, 0101 mathematics, Mathematical Physics, Mathematics, Anomalous Diffusion Modeling and Analysis

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Access URL: https://doaj.org/article/f2c518aa803742b4a2bff202610e1063

Three essays on Machin’s type formulas

Authors: Armengol Gasull Florian Luca Juan Malumbres

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Subject Terms: Section (typography), Inverse trigonometric functions, Multiplication (music), Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, 01 natural sciences, Theoretical Computer Science, Database, Golden section, FOS: Mathematics, Machin's type formulas, Number Theory (math.NT), 0101 mathematics, Biology, Mathematical Physics, Algebra over a field, Mathematics - Number Theory, Arithmetic, Ecology, 11Y60 (Primary), 11D45, 33B10 (Secondary), Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Division (mathematics), Measure (data warehouse), Mathematical Concepts, Discrete mathematics, Computer science, Operating system, History of Mathematics in Education and Research, Computation of π, Physics and Astronomy, Combinatorics, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, Lehmer measure

File Description: application/pdf

Access URL: http://arxiv.org/abs/2302.00154
https://ur.portalcientifico.es/documentos/64e2a5294a4f093d56e71c10
https://investigacion.unirioja.es/documentos/64e2a5294a4f093d56e71c10
https://ddd.uab.cat/record/289990

Linear canonical wavelet transform and linear canonical wave packet transform on the Schwartz type spaces

Authors: M. Thanga Rejini R. Subash Moorthy

Source: The Journal of Analysis. 33:455-479

Subject Terms: linear canonical transform, tempered distributions, wave packet transform, Topological linear spaces of test functions, distributions and ultradistributions, Schwartz space, Integral transforms in distribution spaces, canonical wavelet, Operations with distributions and generalized functions

File Description: application/xml

Access URL: https://zbmath.org/8035905
https://doi.org/10.1007/s41478-023-00673-5

Stochastic Equations and Equations for Probabilistic Characteristics of Processes with Damped Jumps

Authors: I. V. Melnikova V. A. Bovkun

Source: Известия Иркутского государственного университета: Серия "Математика", Vol 45, Iss 1, Pp 73-88 (2023)
The Bulletin of Irkutsk State University. Series Mathematics
Bulletin of Irkutsk State University, Series Mathematics

Subject Terms: generalized functions, PROBABILISTIC CHARACTERISTICS, SHOT NOISE, WIENER PROCESS, shot noise, probabilistic characteristics, STOCHASTIC DIFFERENTIAL EQUATION, QA1-939, wiener process, stochastic differential equation, GENERALIZED FUNCTIONS, Mathematics

File Description: application/pdf

Access URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174930852&doi=10.26516/1997-7670.2023.45.73&partnerID=40&md5=aed4a44a45561b9801cefc643aa7149d
http://elar.urfu.ru/handle/10995/130880
https://doi.org/10.26516/1997-7670.2023.45.73