Results 81 to 90 of about 51,027 (249)

A note on the singular Sturm-Liouville problem with infinitely many solutions

open access: yesElectronic Journal of Differential Equations, 2002
We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
doaj  

On the Nonhomogeneous Fourth-Order p-Laplacian Generalized Sturm-Liouville Nonlocal Boundary Value Problems

open access: yesDiscrete Dynamics in Nature and Society, 2012
We study the nonlinear nonhomogeneous n-point generalized Sturm-Liouville fourth-order p-Laplacian boundary value problem by using Leray-Schauder nonlinear alternative and Leggett-Williams fixed-point theorem.
Jian Liu, Zengqin Zhao
doaj   +1 more source

On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

open access: yesCumhuriyet Science Journal, 2019
In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
doaj   +1 more source

Liouville theorems for III-posed problems

open access: yesJournal of Mathematical Analysis and Applications, 1984
The paper claims to correct an error in a paper of \textit{H. Brézis} and \textit{J. A. Goldstein} [Improp. posed Bound. Value Probl., Conf. Albuquerque 1974, 65-75 (1975; Zbl 0318.35072)], noting that this error was not picked up by the introduction given by Mathematical Reviews (M.R. 57 {\#}16883) or the review in Zentralblatt für Mathematik.
openaire   +2 more sources

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

open access: yesBoundary Value Problems, 2019
In this paper, we investigate the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional derivative. By using the Guo–Krasnoselskii fixed point theorem and
Lulu Zhang, Shurong Sun
doaj   +1 more source

On the Gibbs-Liouville theorem in classical mechanics

open access: yes, 2019
In this article, it is argued that the Gibbs-Liouville theorem is a mathematical representation of the statement that closed classical systems evolve deterministically.
Henriksson, Andreas
core  

A study for a higher order Riemann-Liouville fractional differential equation with weakly singularity

open access: yesElectronic Research Archive
In this paper, we study an initial value problem with a weakly singular nonlinear fractional differential equation of higher order. First, we establish the existence of global solutions to the problem within the appropriate function space.
Mufit San, Seyma Ramazan
doaj   +1 more source

Uncertain fractional forward difference equations for Riemann–Liouville type

open access: yesAdvances in Difference Equations, 2019
To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
doaj   +1 more source

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