An identity for the Heaviside function and its application in representation of nonlinear Green’s function-Reference-Cited by-同舟云学术

An identity for the Heaviside function and its application in representation of nonlinear Green’s function

Published:2019-11-19 Issue:1 Volume:39 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Khurshudyan Asatur Zh.^ORCID

Funder

State Administration of Foreign Experts Affairs

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40314-019-1011-5.pdf

Reference18 articles.

1. Biagioni HA (1990) A nonlinear theory of generalized functions. Springer, Berlin, Heidelberg

2. Colombeau JF (1992) Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics. Springer, Berlin, Heidelberg

3. de Almeida AK Jr, de Almeida Prado AFB, de Moraes RV, Lara M (2018) Analyzing “integral indices” to quantify the effects of a perturbing force in the harmonic and Duffing oscillators. Comput Appl Math 38(Supplement 1):7–15

4. Egorov YuV (1990) A contribution to the theory of generalized functions. Russian Math Surv 45(5):1–49

5. Frasca M, Khurshudyan AsZh (2018) Green’s functions for higher order nonlinear equations: case studies for KdV and Boussinesq equations. Int J Modern Phys C 29(8):1850104 (13 pages)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Kamal Transform of Unit Step Functions;African Journal of Mathematics and Statistics Studies;2024-07-12

2. Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach;Archives of Control Sciences;2023-07-26

3. Approximate controllability of second order infinite dimensional systems;Archives of Control Sciences;2023-07-26

4. Green's functions based on the Timoshenko beam model for the longitudinal seismic dynamic response of tunnels crossing soft and hard rock strata;Tunnelling and Underground Space Technology;2022-10