Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Semilinear differential equation"'
Autor:
G. G. Petrosyan
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 34, Iss 1, Pp 51-66 (2020)
The present paper is concerned with an antiperiodic boundary value problem for a semilinear differential equation with Caputo fractional derivative of order $q\in(1,2)$ considered in a separable Banach space. To prove the existence of a solution to o
Externí odkaz:
https://doaj.org/article/2c8da16360c5440dafcd9d99612d784f
Autor:
Darin Brindle, Gaston M. N'Guerekata
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 30,, Pp 1-12 (2020)
This article concerns the existence of mild solutions to the semilinear fractional differential equation $$ D_t^\alpha u(t)=Au(t)+D_t^{\alpha-1} f(t,u(t)),\quad t\geq 0 $$ with nonlocal conditions $u(0)=u_0 + g(u)$ where $D_t^\alpha(\cdot)$ ($1
Externí odkaz:
https://doaj.org/article/775c927bb6e54d1ab4973d8466658ca5
Publikováno v:
Fixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-21 (2019)
Abstract We study a semilinear fractional order differential inclusion in a separable Banach space E of the form DqCx(t)∈Ax(t)+F(t,x(t)),t∈[0,T], $$ {}^{C}D^{q}x(t)\in Ax(t)+ F\bigl(t,x(t)\bigr),\quad t\in [0,T], $$ where DqC ${}^{C}D^{q}$ is the
Externí odkaz:
https://doaj.org/article/d332611b40f545d9a36f79d240ffce68
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2254 (2022)
In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique. We then design and implement a fitted opera
Externí odkaz:
https://doaj.org/article/e5a95c9078a346b69510e6fc0940c166
Publikováno v:
Fixed Point Theory and Applications, Vol 2017, Iss 1, Pp 1-20 (2017)
Abstract We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded gen
Externí odkaz:
https://doaj.org/article/147214588f7a4e868970b3e0e1da0565
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 168,, Pp 1-16 (2015)
In this article, we study the existence and uniqueness of a local mild solution for a class of semilinear differential equations involving the Caputo fractional time derivative of order $\alpha$ $(0
Externí odkaz:
https://doaj.org/article/5ae2b827be6c4bafbd36188c4f6a08e9
Autor:
Chuan-Hua Chen, Hong-Xu Li
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 236,, Pp 1-15 (2014)
Since the background space of $S^p$-weighted pseudo almost automorphic functions (abbr. $S^p$-wpaa functions) is endowed with a norm coming from $L^p$ norm, it is natural to consider the composition of $S^p$-wpaa functions under conditions of $L^p$
Externí odkaz:
https://doaj.org/article/12fe74b11115499e8ae1238dd71f8295
Autor:
Olszowy Leszek
Publikováno v:
Open Mathematics, Vol 12, Iss 4, Pp 623-635 (2014)
Externí odkaz:
https://doaj.org/article/4a8d55ba68d24051a1eabbc48bb90045
Autor:
Xingmei Xue
Publikováno v:
Electronic Journal of Differential Equations, Vol 2005, Iss 64, Pp 1-7 (2005)
In this paper, we study a semilinear differential equations with nonlocal initial conditions in Banach spaces. We derive conditions for $f$, $T(t)$, and $g$ for the existence of mild solutions.
Externí odkaz:
https://doaj.org/article/1af5fc30d76b4a3483e8ebbfc141964e
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