Zobrazeno 1 - 10
of 1 095
pro vyhledávání: '"lower and upper solutions"'
Autor:
Shih-Hsiang Chang
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 4 (2024)
A monotone iterative technique with lower and upper solutions is presented to identify the regions of existence for the solutions of singular two-point boundary value problems without requiring the monotonicity conditions on f(x,y). Under an a
Externí odkaz:
https://doaj.org/article/05be401b55a340b8a6aa6b7f24ee3558
Publikováno v:
Vojnotehnički Glasnik, Vol 72, Iss 2, Pp 547-562 (2024)
Introduction/purpose: The aim of the paper is to prove the existence of solutions for a special case of the sixth-order boundary value problem. Methods: The Leray-Schauder fixed point theorem is used in order to determine lower and upper bound soluti
Externí odkaz:
https://doaj.org/article/da6795cad733409bbc88698d803ee54b
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-8 (2024)
Abstract This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system. Then, by constructing a homotopy parameter a
Externí odkaz:
https://doaj.org/article/01837b5cc9af4b3ab8b659bd739ebc30
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 4118-4134 (2024)
In this work, we focus on investigating the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. By extending the framework of the technique based on well-ordered coupled lower
Externí odkaz:
https://doaj.org/article/5d4be68e3b2a4a4ebe811c0c64685726
Publikováno v:
Ratio Mathematica, Vol 51, Iss 0 (2024)
In this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions. The monotone method yields monotone sequences which converges uniformly and monotonically to
Externí odkaz:
https://doaj.org/article/2c5ae0bdc4c14141a05c5a98c19999e5
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-11 (2023)
Abstract In this short paper we tackle two subjects. First, we provide a lower bound for the first eigenvalue of the antiperiodic problem for a Hill’s equation based on L p $L^{p}$ -conditions, and as a consequence, we introduce an adjusted stateme
Externí odkaz:
https://doaj.org/article/d2e70733e52c4120ae3c2d0bb4695d61
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 33, Iss 3, Pp 409-418 (2023)
A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka–Volterra model with seasonal harvesting and applied to a control problem of ce
Externí odkaz:
https://doaj.org/article/68905f3ca69c47ed82bbffa7b414ae1c
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 25487-25510 (2023)
This manuscript considers a class of fractional evolution equations with order $ 1 < \gamma < 2 $ in ordered Banach space. Based on the theory of cosine operators, this paper extends the application of monotonic iterative methods in this type of equa
Externí odkaz:
https://doaj.org/article/e178cde1d6a643efa68b94548fac4a2a