Zobrazeno 1 - 10
of 464
pro vyhledávání: '"Douglas R, Anderson"'
Publikováno v:
Axioms, Vol 13, Iss 4, p 222 (2024)
Due to the restrictive growth and/or monotonicity requirements inherent in their employment, classical iterative fixed-point theorems are rarely used to approximate solutions to an integral operator with Green’s function kernel whose fixed points a
Externí odkaz:
https://doaj.org/article/f5289814da1540eca3406e5de63ce1f8
Autor:
Douglas R. Anderson
Publikováno v:
Symmetry, Vol 16, Iss 2, p 135 (2024)
Integral transform methods are a common tool employed to study the Hyers–Ulam stability of differential equations, including Laplace, Kamal, Tarig, Aboodh, Mahgoub, Sawi, Fourier, Shehu, and Elzaki integral transforms. This work provides improved t
Externí odkaz:
https://doaj.org/article/9335ee7d900c4ea5a5bf34211679d214
Autor:
Douglas R. Anderson, Masakazu Onitsuka
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract We establish the Ulam stability of a first-order linear nonautonomous quantum equation with Cayley parameter in terms of the behavior of the nonautonomous coefficient function. We also provide details for some cases of Ulam instability.
Externí odkaz:
https://doaj.org/article/ce2b3e642a874c578bd06e074c07622c
Autor:
Douglas R. Anderson, Masakazu Onitsuka
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2020 (2020)
Many applications using discrete dynamics employ either q-difference equations or h-difference equations. In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum (q-difference) equation of Euler type. In particular, we show
Externí odkaz:
https://doaj.org/article/b6c7565c1aab432a892ac61b88ff9cfe
Autor:
Douglas R. Anderson
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 210,, Pp 1-18 (2017)
In this study, even order self-adjoint differential equations incorporating recently introduced proportional derivatives, and their associated self-adjoint boundary conditions, are discussed. Using quasi derivatives, a Lagrange bracket and bilinear
Externí odkaz:
https://doaj.org/article/278ed77250a34e928bdcff5883ce1baf
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 253,, Pp 1-9 (2016)
In this article we use an interval of functional type as the underlying set in our compression-expansion fixed point theorem argument which can be used to exploit properties of the operator to improve conditions that will guarantee the existence o
Externí odkaz:
https://doaj.org/article/37bcdcb1d1ee4259a63d2bab21fcc495
Autor:
Richard I. Avery, Douglas R. Anderson
Publikováno v:
Differential Equations & Applications. :179-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e54d0fe8a6289957bd2e44da80acf7fe
https://doi.org/10.7153/dea-2022-14-11
https://doi.org/10.7153/dea-2022-14-11
Autor:
Douglas R. Anderson, Richard I. Avery
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 29,, Pp 1-10 (2015)
Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting. Utilizing the corresponding positive
Externí odkaz:
https://doaj.org/article/b39b3ff76d6847f3a1a981dfb68299d3
Autor:
Masakazu Onitsuka, Douglas R. Anderson
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 46
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb7971967eedde02445c2b1efc7df600
https://doi.org/10.1007/s40840-022-01417-7
https://doi.org/10.1007/s40840-022-01417-7
Publikováno v:
Aequationes mathematicae. 96:773-793
In this paper, we establish a new class of dynamic inequalities of Hardy’s type which generalize and improve some recent results given in the literature. More precisely, we prove some new Hardy-type inequalities involving many functions on time sca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cf6a22943d6530e4099f38371e1cb63
https://doi.org/10.1007/s00010-021-00831-9
https://doi.org/10.1007/s00010-021-00831-9