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Extremal Solutions of Generalized Caputo-Type Fractional-Order Boundary Value Problems Using Monotone Iterative Method

open access: yesFractal and Fractional, 2022
The aim of this research work is to derive some appropriate results for extremal solutions to a class of generalized Caputo-type nonlinear fractional differential equations (FDEs) under nonlinear boundary conditions (NBCs).
Choukri Derbazi   +5 more
doaj   +4 more sources

Monotonically Iterative Method for the Cantilever Beam Equations

open access: yesAxioms, 2023
In this paper, we consider the existence of extremal solutions for the nonlinear fourth-order differential equation. By use of a new comparison result, some sufficient conditions for the existence of extremal solutions are established by combining the ...
Yujun Cui, Huiling Chen, Yumei Zou
doaj   +1 more source

An Extremal Graph Problem with a Transcendental Solution [PDF]

open access: yesCombinatorics, Probability and Computing, 2018
We prove that the number of multigraphs with vertex set {1, . . .,n} such that every four vertices span at most nine edges isan2+o(n2)whereais transcendental (assuming Schanuel's conjecture from number theory). This is an easy consequence of the solution to a related problem about maximizing the product of the edge multiplicities in certain multigraphs,
Dhruv Mubayi, Caroline Terry 0001
openaire   +3 more sources

Observations on holographic aspects of four-dimensional asymptotically flat N $$ \mathcal{N} $$ = 2 black holes

open access: yesJournal of High Energy Physics, 2022
In this note, we explore holographic attributes of four-dimensional near-extremal Reissner-Nordstrom black hole solutions in ungauged N $$ \mathcal{N} $$ = 2 supergravity theories at the two-derivative level by recasting them as a specific first-order ...
Pedro Aniceto   +2 more
doaj   +1 more source

Carroll black holes

open access: yesSciPost Physics, 2023
Despite the absence of a lightcone structure, some solutions of Carroll gravity show black hole-like behaviour. We define Carroll black holes as solutions of Carroll gravity that exhibit Carroll thermal properties and have a Carroll extremal surface ...
Florian Ecker, Daniel Grumiller, Jelle Hartong, Alfredo Pérez, Stefan Prohazka, Ricardo Troncoso
doaj   +1 more source

Extremal black hole horizons

open access: yesJournal of High Energy Physics, 2018
Using the blackfold effective theory applied to extremal Kerr branes we provide evidence for the existence of new stationary extremal black hole solutions in asymptotically flat spacetime with both single and multiple disconnected horizons. These include
Jay Armas   +2 more
doaj   +1 more source

On the Growth of Solutions of Second Order Linear Complex Differential Equations whose Coefficients Satisfy Certain Conditions

open access: yesمجلة بغداد للعلوم, 2020
In this paper, we study the growth of solutions of the second order linear complex differential equations  insuring that any nontrivial solutions are of infinite order.
ayad alkhalidy, Eman Hussein
doaj   +1 more source

Causal difference equations with upper and lower solutions in the reverse order

open access: yesAdvances in Difference Equations, 2019
This paper is devoted to studying the existence conditions for difference equations involving causal operators in the presence of upper and lower solutions in the reverse order. To this end, we prove some new comparison theorems and develop the upper and
Wen-Li Wang, Jing-Feng Tian
doaj   +1 more source

Iterative technique for third-order differential equation with three-point nonlinear boundary value conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we study the existence of extremal solutions for a nonlinear third-order differential equation with three-point nonlinear boundary value conditions.
Xiuli Lin, Zengqin Zhao
doaj   +1 more source

On the density of extremal solutions of differential inclusions [PDF]

open access: yesAnnales Polonici Mathematici, 1992
Let \(F:I\times X\to 2^ x\backslash\varphi\) be a multifunction, where \(I=[t_ 0,T]\), and \(X\) is a reflexive separable Banach space. Assume that \(\{F(t,x)\}\) is closed, convex, with nonempty interior, \(F\) is continuous and bounded on \(I\times B(x_ 0r)\).
PIANIGIANI, GIULIO, F. DE BLASI
openaire   +3 more sources

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