Zobrazeno 1 - 10
of 729
pro vyhledávání: '"extremal solutions"'
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 115, Iss 3 (2024)
In the study the existence of solutions of a class of fractional integro-differential equations with boundary conditions was considered. The main tool, we employ, is the conventional monotone iterative technique, which is highly effective method to e
Externí odkaz:
https://doaj.org/article/85c8323ba10b4e12ac4b19db74d83dd0
Autor:
Hamani Samira
Publikováno v:
Mathematica Moravica, Vol 28, Iss 1, Pp 17-28 (2024)
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of B
Externí odkaz:
https://doaj.org/article/e9934c7c6ea5441184d068adbc624260
Publikováno v:
Axioms, Vol 13, Iss 9, p 640 (2024)
In this paper, a nonlinear dynamic equation with an initial value problem (IVP) on a time scale is considered. First, applying comparison results with a coupled lower solution (LS) and an upper solution (US), we improved the quasilinearization method
Externí odkaz:
https://doaj.org/article/25eae9c8a12e4ae787c01e90e1654608
Publikováno v:
Mathematics, Vol 12, Iss 14, p 2207 (2024)
We have developed the generalized quasilinearization method (QM) for an initial value problem (IVP) of dynamic equations on time scales by using comparison theorems with a coupled lower solution (LS) and upper solution (US) of the natural type. Under
Externí odkaz:
https://doaj.org/article/d63447ea201f448d9b0ec254b20140ce
Autor:
Felix Sadyrbaev
Publikováno v:
Dynamics, Vol 3, Iss 3, Pp 550-562 (2023)
For a linear ordinary differential equation (ODE in short) of the third order, results are presented that supplement the theory of conjugate points and extremal solutions by W. Leighton, Z. Nehari, M. Hanan. It is especially noted the sensitivity of
Externí odkaz:
https://doaj.org/article/c162132b070a4db484341c4125c110eb
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 17197-17207 (2023)
In this paper, we study the existence of solution for a class of impulsive integro-differential equations. Different from traditional periodic and anti-periodic boundary value problems, a more general boundary condition introduced in this new system.
Externí odkaz:
https://doaj.org/article/fc1aba883fa34615a52cdedd07ec7e6c
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 9146-9165 (2023)
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an exist
Externí odkaz:
https://doaj.org/article/696600edb2e34069aba1dfb0f44eba91
Publikováno v:
Alexandria Engineering Journal, Vol 61, Iss 12, Pp 11959-11977 (2022)
This paper introduces a new concept of Caputo type interval-valued fractional conformable calculus. Based on this, some theorems and properties related to fractional conformable calculus are presented. As an application, this paper attempts to invest
Externí odkaz:
https://doaj.org/article/72b7f58b0c6c49678ea5a27277e49d5e
Autor:
Wenli Wang, Peiguang Wang
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-8 (2022)
Abstract This paper focuses on second-order differential equations involving causal operators with nonlinear two-point boundary conditions. By applying the monotone iterative technique in the presence of upper and lower solutions, with a new comparis
Externí odkaz:
https://doaj.org/article/156e676a6a814befbcf7bec79e55f179
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 9894-9910 (2022)
The momentous objective of this work is to discuss some qualitative properties of solutions such as the estimate of the solutions, the continuous dependence of the solutions on initial conditions and the existence and uniqueness of extremal solutions
Externí odkaz:
https://doaj.org/article/aa0366f53a2d4e3facee19fc671d577f