Products of distributions in Colombeau algebra

References

• 1. J. F. Colombeau , New Generalized Function and Multiplication of Distributions (Elsevier, 1984). Google Scholar
• 2. J. F. Colombeau , Elementary Introduction to New Generalized Functions (Elsevier, 1985). Google Scholar
• 3. J. Aragona, J. F. Colombeau and S. O. Juriaans , Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model, J. Math. Anal. Appl. 128(2) (2014) 964–977. Crossref, Google Scholar
• 4. A. Gsponer , A concise introduction to Colombeau generalized functions and their applications in classical electrodynamics, Eur. J. Phys. 30(1) (2009) 109–126. Crossref, Web of Science, Google Scholar
• 5. E. Nigsch and C. Samman , Global algebras of nonlinear generalized functions with applications in general relativity, Sao Paulo J. Math. Sci. 7(2) (2013) 143–171. Google Scholar
• 6. F. Farassat , Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics, Vol. 3428 (NASA Technical Paper, 1994). Google Scholar
• 7. R. Steinbauer and J. A. Vickers , The use of generalized functions and distributions in general relativity, Classical Quantum Gravity 23(10) (2006) R91. Crossref, Google Scholar
• 8. U. Capar , Colombeau solutions of a nonlinear stochastic predator — pray equation, Turk. J. Math. 34 (2013) 1048–1060. Google Scholar
• 9. B. J. Tuneska, A. Takaci and E. Ozcag , On differential equations with non-standard coefficients, Appl. Anal. Discrete Math. 1 (2007) 276–283. Crossref, Google Scholar
• 10. B. Damyanov , Results on Colombeau product of distributions, Comment. Math. Univ. Carol. 38(4) (1997) 627–634. Google Scholar
• 11. B. Damyanov , Multiplication of Schwartz distributions and Colombeau generalized functions, J. Appl. Anal. 5(2) (1999) 249–260. Crossref, Google Scholar
• 12. B. Damyanov , Balanced Colombeau products of the distributions $x_{\pm }^{-p}$ and $x^{-p}$, Czechoslov. Math. J. 55(1) (2005) 189–201. Crossref, Google Scholar
• 13. B. Damyanov , Results on balanced products of the distributions $x_{\pm }^a$ in Colombeau algebra ${𝒢}(R)$, Integr. Transforms Special Funct. 17(9) (2006) 623–635. Crossref, Google Scholar
• 14. M. Miteva and B. J. Tuneska , Some results on Colombeau product of distributions, Adv. Math. Sci. J. 1(2) (2012) 121–126. Google Scholar
• 15. B. J. Tuneska and T. A. Pacemska , Further results on Colombeau product of distributions, Int. J. Math. Math. Sci. 2013 (2013) 918905. Google Scholar
• 16. M. Miteva, B. J. Tuneska and T. A. Pacemska , On products of distributions in Colombeau algebra, Math. Probl. Eng. 2014 (2014) 910510. Crossref, Web of Science, Google Scholar
• 17. M. Miteva, B. J. Tuneska and T. A. Pacemska , Colombeau products of distributions, SpringerPlus 5 (2016) 1–9. Crossref, Google Scholar
• 18. M. Miteva, B. J. Tuneska and T. A. Pacemska , Results on the Colombeau products of the distribution $x_{+}^{-r-1/2}$ with the distributions $x_{-}^{-k-1/2}$ and $x_{-}^{k-1/2}$, Funct. Anal. Appl. 52(1) (2018) 9–20. Crossref, Google Scholar
• 19. M. Miteva, B. J. Tuneska and L. K. Lazarova , Product of the generalized functions $x_{-}^{-k}$ and ${\delta }^{(p)}(x)$ in Colombeau algebra, Int. J. Appl. Math. 35(1) (2022) 147–159. Google Scholar
• 20. J. Aragona and H. A. Biagioni , Intrinsic deffinition of the Colombeau algebra of generalized functions, Anal. Math. 17 (1991) 75–132. Crossref, Google Scholar